Bach E. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 13-28. O Improved approxmation for Euler products. Bach E. & Lukes R. & Shallit J. & Williams H. : Math. of Comp. 65 (1996), 1737-1747. #169 Results and estimates on pseudopowers. Bachman G. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 29-38. O On exponential sums with multiplicative coefficients. Bachman G. : Pacific J. Math. 169 (1995), 219-233. lxxviii On the convergence of infinite exponentials. Bachman G. : Proc. Amer. Math. Soc. 125 (1997), No.4, 1001-1003. #151 On an optimality property of Ramanujan sums. Bachman G. & Rachakonda L. : The Ramanujan Journal 5 (2001), No.1, March, 65-71. O On a Problem of Dobrowolski and Williams and the Pólya-Vinogradov Inequality. Backhouse N. : Math. Gazette 79 (1995), 371-374. lxxxii / lxxxiv Pancake functions and approximations to Pi. Backlund R. : C. R. Acad. Sci. Paris 158 (1914), 1979-1982. xl Sur les zéros de la fonction zeta(s) de Riemann. Badea C. : Studia Univ. Babes-Bolyai Math. 31 (1986), No.3, 3-8. #158 The irrationality of certain infinite products. Badea C. : Glasgow Math. J. 29 (1987), 221-228. cvi / #152 The irrationality of certain infinite series. Badea C. : Acta Arithm. 63 (1993), No.4, 313-323. #159 A theorem on irrationalatity of infinite series and applications. Baernstein A. et... (eds.) : Amer. Math. Soc. 1986. O The Bieberbach Conjecture, Proceedings Symposia. Occasion of Proof. Baez-Duarte L. : Advances in Math. 125 (1997), No.1, 114-120. #150 Hardy-Ramanujan?s asymptotic formula for partitions and the central limit theorem. Baez-Duarte L. & Balazard M. : Advances in Mathematics 149 (2000), No.1, January 15, 130-144. m-01 Notes sur la fonction de Riemann, 3. Bagemihl F. & McLaughlin J. R. : J. Reine Angew. Math. 221 (1966), 146-148. cxxxvii Generalization of some classical theorems concerning triples of consecutive convergents to simple continued fractions. Bailey D. : Math. Comp. 50 (1988), 275-281. xx / cxii Numerical results on the transcendence of constants involving pi, e, and Euler?s constant. Bailey D. H. : Math. Comput. 50 (1980), No.181, 283-296. Pi : A source book, 562-575. The computation of Pi to 29,3600,000 decimal digits using Borwein?s quadratically convergent algorithm. Bailey D.H. & Borwewin J.M. : B. Engquist & W. Schmid : Math. Unlimited 2001 & Beyond, Springer 2001.51-66. O Experimental Mathematics : Recent Developments and Future Outlook. Bailey D.H. & Borwein J.M. & Borwein P.M. & Plouffe S.: Math. Intell. 19 (1997), No.1, 50-57. O The Quest for Pi. Bailey D. & Borwein J. & Crandall R. : Mathematics of Comput. 66 (1997) 417-431. #174 On the Khintchine constant. Bailey D.H. & Borwein J.M. & Girgenson R. : Experimental Math. 3 (1994), No.1, 17-30. l / cxxx / F.ps Experimental Evaluation of Euler Sums. Bailey D.H. & Borwein P. & Plouffe S. : Math. Comput. 66 (1997), No.218, 903-913. cxiv On the rapid computation of various polylogarithmic constants. Bailey D.H. & Borwein P. & Plouffe S. : Math. Comput 66 (1997), No.218, 903-913, Pi : A source book, 663-676. On the rapid computation of varius polylogarithmic constants. Bailey D. H. & Ferguson H. R. P. : Math. of Comput. 53 (1989), 649-656. cxlv Numerical results on relations between numerical constants using a new algorithm. Bailey W. N. : Proc. London Math. Soc. (2) 28 (1928), 242-254. xlix Products of generalized hypergeometric series. Bailey W. N. : Proc. London Math. Soc. (2) 29 (1929), 495-502. lxv Transformations of generalized hypergeometric series. Bailey W. N. : Proc. London Math. Soc. (2) 29 (1929), 503-516. lxv Some identities involving generalized hypergeometric series. Bailey W. N. : J. London Math. Soc. 4 (1929), 254-257. lxi An identity involving Heine?s basic hypergeometric series. Bailey W. N. : J. London Math. Soc. 5 (1930), 92-95. cviii On a function which is its own reciprocal in the Fourier-Bessel integral transformation. Bailey W. N. : J. London Math. Soc. 5 (1930), 200-202.xlv A generalization of an integral due to Ramanujan. Bailey W. N. : J. London Math. Soc. 5 (1930), 258-265. cviii Some classes of functions which are their own reciprocals in the Fourier-Bessel integral transformation. Bailey W. N. : Proc. London ath. Soc. (2) 31 (1930), 505-511. lxv An extension of Whipple's theorem on well-poised hypergeometric series. Bailey W. N. : J. London Math. Soc. 6 (1931), 40-41. xlii The partial sum of the coefficients of the hypergeometric series. Bailey W. N. : J. London Math. Soc. 6 (1931), 216-217. xlv A note on an integral due to Ramanujan. Bailey W. N. : J. London Math. Soc. 6 (1931), 242-247. cix On the solution of some integral equations. Bailey W. N. : Math. Gazette 15 (1931), 299-300. cxlii An elementary proof of Saalschutz?s theorem on generalized hypergeometric series. Bailey W. N. : J. London Math. Soc. 7 (1932), 34-36. xlv On one of Ramanujan?s theorems. Bailey W. N. : J. London Math. Soc. 7 (1932), 82-87. cix Relations between some definite integrals involving self-reciprocal functions. Bailey W. N. : Quart. J. Math. Oxford Ser. 3 (1932), 168-182. lxv Some transformations of generalized hypergeometric series, and contour integrals of Barnes?s type. Bailey W. N. : J. London Math. Soc. 8 (1933), 100-107. lxi On certain relation between hypergeometric series of higher order. Bailey W. N. : Quart. J. Math (Oxford) 4 (1933), 305-308. lxxii A reducible case of the fourth type of Appell?s hypergeometric functions of two variables. Bailey W. N. : Proc. London Math. Soc. (2) 36 (1934), 235-240. lxv Transformations of well-poised hypergeometric series. Bailey W. N. : Quart. J. Math. (Oxford) 5 (1934), 291-292. cxli On the reducibility of Appell?s function F4. Bailey W. N. : Proc. London Math. Soc. (2) 38 (1935), 377-384. xlix Some theorems concerning products of hypergeometric series. Bailey W. N. : Quart. J. Math. (Oxford) 6 (1935), 233-???. cxli Some expansions in Bessel functions involving Appell?s function F4. Bailey W. N. : Quart. J. Math. (Oxford) 7 (1936), 105-115. lxxii Series of hypergeometric type which are infinite in both directions. Bailey W. N. : J. London Math. Soc. 11 (1936), 156-160. cxxvi An algebraic identity. Bailey W. N. : J. London Math. Soc. 11 (1936), 286-289. cxxvi Some identities connected with representations of numbers. Bailey W. N. : Quart. J. Math. (Oxford) 8 (1937), 113-114. cxli A new proof of Dixon?s theorem on hypergeometric series. Bailey W. N. : Quart. J. Math. (Oxford) 8 (1937), 115-118. cxli Associated hypergeometric series. Bailey W. N. : J. London Math. Soc. 13 (1938), 8-11. cxxxviii The generating function of Jacobi polynomials. Bailey W. N. : Quart. J. Math. (Oxford) 12 (1941), 12-14. cxli On the double integral representation of Appell?s function F4. Bailey W. N. : Quart. J. Math. (Oxford) 12 (1941), 173-175. lxxii A note on certain q-identities. Bailey W. N. : J. London Math. Soc. 18 (1943), 249-256. lxi Francis John Welsh Whipple. Bailey W. N. : Proc. London Math. Soc. (2) 49 (1947), 421-435. lii Some identities in combinatorial analysis. Bailey W. N. : J. London Math. Soc. 22 (1947), 237-240. lxviii A transformation of nearly-poised basic hypergeometric series. Bailey W. N. : Quart. J. Math. (Oxford) 18 (1947), 157-166. lxxii Well-poised basic hypergeometric series. Bailey W. N. : Proc. London Math. Soc. (2) 50 (1949), 1-10. lxiii Identities of the Rogers-Ramanujan type. Bailey W. N. : Quart. J. Math. (Oxford) (2) 1 (1950), 194-198. lxxii On the basic bilateral hypergeometric series 2Phi2. Bailey W. N. : Quart. J. Math (Oxford) (2) 1 (1950), 318-320. lxxii On the analogue of Dixon?s theorem for bilateral basic hypergeometric series. Bailey W. N. : Proc. London Math. Soc. (3) 1 (1951), 217-221. liv On the simplification of some identities of the Rogers-Ramanujan type. Bailey W. N. : Quart. J. Math. (Oxford) (2) 3 (1952), 29-31. xxxvii A note on two of Ramanujan?s formulae. Bailey W. N. : Quart. J. Math. (Oxford) (2) 3 (1952), 158-160. xxx A further note on two of Ramanujan?s formulae. Bailey W. N. : Quart. J. Math. (Oxford) (2) 4 (1953), 237-240. cxxxix On the sum of a terminating 3F2 (1). Bailey W. N. : Proc. Amer. Math. Soc. 4 (1953), 569-572. cxlii An expression for Theta1(nz)=theta1(z). Bailey W. N. : J. London Math. Soc. 29 (1954), 498-503. xlii Ernest William Barnes. Bailey W. N. : Proc. Glasgow Math. Assoc. 2 (1954), 62-65. cxxxvii Contiguous hypergeometric functions of the type 3F2 (1). Bailey W. N. : Math. Gazette 40 (1956), 277-278. cxlii A note on a 3F2. Bailey W. N. : Quart. J. Math. (Oxford) (2) 10 (1959), 92-94. cxxxix On the sum of a particular bilateral hypergeometric series 3H2. Bailey W. N. : Quart. J. Math. (Oxford) (2) 10 (1959), 236-240. cxxxix On two manuscripts by Bishop Barnes. Baily W. Jr. : Proc. Indian Acad. Sci. (Math. Sci.) Ramanujan B.C.V. 97 (1987), 21-30. O On the proof of the reciprocity law for arithmetic Siegel modular functions. Baker A. : Acta Arithmetica 10 (1964), 315-323. Pi : A source book, 359-367. Approximations to the logarithms of certain rational numbers. Baker A. : Acta Artihmetica 10 (1964), 315-323. cxl Approximations to the logarithms of certain rational numbers. Baker A.: Mathematika 13 (1966), 204-216. cxxxix Linear forms in the logarithms of algebraic numbers. I. Baker A. : Mathematika 14 (1967), 102-107. cxxxix Linear forms in the logarithms of algebraic numbers. II. Baker A. : Mathematika 14 (1967), 220-228. cxxxix Linear forms in the logarithms of algebraic numbers. III. Baker A. : Mathematika 15 (1968), 204-216. cxxxix Linear forms in the logarithms of algebraic numbers. IV. Baker A. L. : 1890 John Wiley and Sons. e-B Elliptic Functions, An Elementary Text-book for Students of Mathematics. Baker A. L. : 1915 John Wiley ans Sons. O Elliptic Functions, An Elementary Text-book for Student of Mahematics. Baker G. A. : J. Math. Phys. 10 (1969), 814-820. lvi2 Best error bounds for Padé approximants to convergent series of Stieltjes. Baker G. A. Jr. : J. Math. Anal. & Appl. 43 (1973), 498-528. cxlv Existence and convergence of subsequences of Padé approximants. Baker H. F. : J. London Math. Soc. 5 (1930), 307-318. xlii Percy Alexander MacMahon. Baker I. N. : Math. Ann. 129 (1955), 174-180. xlvii2 The iteration of entire transcendental functions and the solution of the functional equation... Baker R. C. & Harman G. : Proc. London Math. Soc. (3) 72 (1996), No.2, 261-280. #154 The difference between consecutive primes. Balakrishnan U. : J. Indian Math. Soc. 46 (1982), 181-187. lxxvii On the Laurent expansion of zeta(s,a) at s=1. Balasubrahmanian N. : Math. Student 18 (1950), 130-132. lxxvii / ? On the number defined by Nr = (1/e) SUM (n^f / n! ). Balasubramanian N. : Nieuw Arch. Wiskunde (4) 15 (1997), No.3, 133-140. #150 On the Bushe-Ramanujan identities. Balasubramanian R. : J. Indian Inst. Sci. 1987 ( Special Issue ), 39-44. xxxiii / O The circle method and its implications. Balasubramanian R. & Deshouillers J.M. : C. R. Acad. Sci. Paris Sér. I. Math. 303 (1986), 85-88. cxxvi Probléme de Waring pour les bicarrés. I. Schéma de la solution. Balasubramanian R. & Deshouillers J.M. : C. R. Acad. Sci. Paris Sér. I. Math. 303 (1986), 161-163. cxxvi Probléme de Waring pour les bicarrés. II. Résultats auxiliaires pour le theórème asymetrique. Balasubramanian R. & Ponnussamy S. : Proc. Indian Acad. Sci. Math. Sci. 108 (1998), No.2, 95-108. cv-3 On Ramanujan asymptotic expansions and inequalities for hypergeometric functions. Balasubramanian R. & Ramachandra K. : Proc. R. C.I.C Annamalainagar 1987, Ramanujan M. S. (1988), 27-30. O On square-free numbers. Balasubramanian R. & Ramachandra K. : Number Theory, Bombay (1988), T.I.F.R. - O.U.P. (1989), 12-22. O Titchmarsh?s phenomenon for zeta(s). Balazard M. & Saias E. & Yor M. : Adv. Math. 143 (1999), 284-287. #169 Notes sur la fonction zeta de Riemann. 2. Baldwin P. R. : J. Statist. Phys. 66 (1992), No.5-6, 1463-1505. lxxxi1 A multidimensional continued fraction and some statistical properties. Baldwin P. R. : J. Statist. Phys. 66 (1992), No.5-6, 1507-1526. lxxxi1 A convergence exponent for multidimensional continued fraction algorithm. Balladi V. : Gazette des Matématiciens (1991), SMF 47, Janvier. #156 Comment compter avec les fonctions zeta. Ballantine J. P. : (1939), 499-501. Pi : A source book, 271-273. The best (?) formula for computing Pi to a thousand places. Ballantine J. P. : Amer. Math. Monthly 46 (1939), 499-501. #162 The best (?) formula for computing Pi to a thousand places. Ballieu R. : Mathesis, Recueil Mathematique a l?usage des écoles speciales. 54 (1942), 304-314. lxxxviii Sur le dévelopement des irrationelles quadratiques en fractions continues régulières. Baltus C. : J. Comput. & Appl. Math. 46 (1993), No.3, 395-404. c / upv-i1 Truncation error bounds for the compasition of limit-periodic linear fractional transformations. Baltus C. & Cooper S. C. & Craviotto C. & McCabe J. H.: J. Comput. Appl. Math. 37 (1991), No.1-3, 57-69. c / upv-i1 On the use of a corresponding sequence algorithm for delta-fractions. Baltus C. & Jones W. B. : Numer. Math. 46 (1985), 541-569. xxix / cx / cxxiv Truncation error bounds for limit periodic continued fractions K( An / 1 ). Baltus C. & Jones W.B. : Proc. Analytic T. Continued Fractions II, 1985, Lect. Notes Math. 1199 (1986), 1-20. O a Family o f best value regions for modified continued fractions. Baltus C. & Jones W. B. : Numer. Math. 55 (1989), No.3, 281-307. xv Truncation error bounds for modified continued fractions with applications to special functions. Bambah R. P. : J. London Math. Soc. (2) 2 (1946), 91-93. #165 Two congruence properties of Ramanujan?s function tau(n). Bambah R. P. & Chowla S. : J. London Math. Soc. 22 (1947), 140-147. #160 The Residue of Ramanujan?s function tau(n) to the modulus 2^8. Bangerezako G. : The Ramanujan Journal 5 (2001), No.2, June, 167-181. O The Fourth Order Difference Equation for the Laguerre-Hahn Polynomials Orthogonal on Specoal Non-uniform Lattices. Bankier J. D. & Leighton W. : Amer. J. Math. 64 (1942), 653-668. xxx Numerical continued fractions. Banks W. D. : The Ramaujan Journal 5 (2001), No.2, June, 153-157. O Some Unusual Identities for Special Values of the Riemann Zeta Function. Baragar A. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta.. (Eds.), 1999 AMS, 1-6. O Rational curves with zero self intersection on certain K3 surfaces. Baratella P. & Gabutti B. : J. Comput. & Appl. Math. 62 (1995), 181-196. #170 Uniform approximation on unit disk of series arising in plate contact problems. Barbier L. E. : Ann. de Math. Pures et Appl. 21 (1831), 262-279. xlviii Méthode pour la transformation d?une série quelconque, ou du rapport entre deux séries... Barbolosi D. : Monatsch. Math. 109 (1990), No.1, 25-37. xxi Sur le developpement in fractions continues a quotients partiels impaires.1 Barbolosi D. : J. Theorie Nombres-Bordeaux. 5 (1993), No.1, 1-22. xxii / xx / civ Automates et fractions continues. Barbolosi D. : J. Number Theory 66 (1997), No.1, 172-182. cxlvii Une application due theoreme ergodique sous-additif a la theorie metrique des fractions continues. Barbolosi D. & Faivre C. : Indag. Math. 6 (1995), No.3, 257-265. xcvii Metrical properties of some random variables connected with the continued frctions expansion. Barbolosi D. & Jager H. : J. Theorie Nombres Bordeaux 6 (1994), No.1, 81-94. xciv / civ On a theorem of Legendre in the theory of continued fractions. Barkan P. : C. R. Acad. Sci. Paris Ser. A 284 (1977), 923-926. cxl Sur les sommes de Dedekind et les fractions continues finies. Barlow R. H. : BIT 14 (1974), 112-116. xl Convergent continued fraction approximants to generalised polylogarithms. Barnard R. W. : J. Comput. & Appl. Math. 105 (1999), No.1-2, 1-8. #166/#171 On Applications of hypergeometric functions. Barnard R. W. & Pearce K. & Richards K. : ?? #171 An inequality involving the generalized hypegeometric function and the Arc length of an ellipse. Barnard R. W. & Pearce K. & Schovanec L. : SIAM J. Math. Anal. ?? (????), ???-???. #171 On the Muir-Ramanujan approximation to the Arc length of an ellipse. Barnes C. W. : Amer. Math. Monthly 91 (1984), No.7, 428-430. Ó Euler?s constant and e. Barnes E. R. & Kaufman W. E. : Amer. Math. Monthly 72 (1965), 1023. #168 The Euler-Mascheroni constant. Barnes E. W. : Messenger of Mathematics 29 (1900), 64-128. xxxviii The theory of the Gamma function. Barnes E. W. : Quart. J. Pure & Appl. Math. 35 (1904), 175-188. lxxvi The generalization of the Maclaurin sum formula, and the range of its applicability. Barnes E. W. : Messenger of Mathematics 34 (1905), 52-71. li On the homogeneous linear differene equation of the second order with linear coefficients. Barnes E. W. : Proc. London Math. Soc. (2) 3 (1905), 253-272. cxxiii The Maclaurin sumformula. Barnes E. W. : Proc. London Math. Soc. (2) 5 (1907), 59-116. xliv The Asymptotic expansion of integral functions defined by generalized hypergeometric series. Barnes E. W. : Trans. Cambridge Phil. Soc. 20 (1907), 253-279. xcii On functions defined by simple types of hypergeometric series. Barnes E. W. : Quart. J. Pure & Appl. Math. 38 (1907), 108-140. cxxx Th e use of factorial series in an asymptotic expansion. Barnes E. W. : Proc. London Math. Soc. (2) 6 (1908), 141-177. xlix A new development of the theory of the hypergeometric functions. Barnes E. W. : Quart. J. Math. Pure & Appl. 41 (1910), 136-140. lxv A transformation of generalized hypergeometric series. Barnsley M. : Rocky Mount. J. Math. 4 (1974), 331-333. lxxvi The bounding properties of the multiple-point Padé approximant to series of Stieltjes. Barrionuevo J. & Burton R. M. & Dajani K. & Kraaikamp : Acta Arithm. 74 (1996), No.4, 311-327. #159 Ergodic properties of generalized Lüroth series. Barrios D. & Lopez G. & Martinez A. & Torrano E. : J. Approx. Theory 93 (1998), No.2, 177-200. cxlviii On the domain of convergence and poles of complex J-fractions. Barrios D. & Lopez G. & Torrano E. : Sbornik Math. 186 (1995), No.5-6, (May-Jun), 629-659. lxxxv / cxii / cxiii Polynomials generated by a three term recurrence relation with asymptotically periodic complex elemnets. Barrow D. F. : Amer. Math. Monthly 43 (1936), 150-160. lxxviii Infinite exponentials. Barrucand P. & Cooper S. & Hirschhorn M. D. : The Ramanujan Journal 6 (2002), No.3, September, 347-367. O Results of Hurtwitz Type for Five or More Squares. Barry P. D. & Hurley D. J. : Amer. Math. Monthly 98 (1991), No.3, 240-242. O On Series of Partial Fractions. Bartle R. G. & Sherbert D. R. : 2000 Limusa - Wiley. O Introducción al Análisis Matemático de una Variable. Bartos P. : Casopis pro Pestovani Matematiky 95 (1970), 411-415. #173 A remark on the number of solutions of the equation 1/x + 1/y = a/b in natural numbers. Baruah N. D. (Nayandeep Deka) : The Ramanujan Journal 4 (2000), No.3, September, 239-250. O A Few Theta-Function Identities and Some of Ramanujan?s Modular Equations. Baruah N. D. : Journal of Mathematical Analysis and Applications 268 (2002), No.1, April 1, 244-255. m-01 Modular Equations for Ramanujan's Cubic Continued Fraction. Basin S. L. : The Fibonacci Quarterly 1 (1963), No.1, February, 53-56. O The Fibonacci sequence as it appears in nature. Basin S. L. : The Fibonacci Quarterly 2 (1964), No.2, April, 119-122. O A note on Waring?s formula for sums of like powers of roots. Basin S. L. & Hoggatt V. E. Jr. : The Fibonacci Quarterly 1 (1963), No.1, February, 65-72. O A primer on the Fibonacci sequence. Part I. Basin S. L. & Hoggatt V. E. Jr. : The Fibonacci Quarterly 1 (1963), No.2, April, 61-68. O A primer on the Fibonacci sequence. Part II. Basu A. : The Ramanujan Journal 3 (1999), No.3, September, 297-301. O Alternate proof of Shô Iseki?s functional equation. Basu A. & Apostol T. M. : The Ramanujan Journal 4 (2000), No.4, December, 397-419. O A New Method for Investigating Euler Sums. Bateman H. : 1953 Mc Graw-Hill. O Transcendental Functions. Volume 1. Bateman P.T. & Diamond H.G. : Amer. Math. Monthly 103 (1996), No.9, 729-741. O A hundred years of prime numbers. Bateman P. T. & Grosswald E. : Illinois J. Math. 2 (1958), 88-98. cviii On a theorem of Erdös and Szekeres. Bateman P. T. & Knopp M. I. : The Ramanujan Journal 2 (1998), No.1/2, 247-269. O Some New Old-Fashioned Modular Identities. Bateman P. T. & Low M. E. : Amer. Math. Monthly 72 (1965), 139-143. cix Prime numbers in artihmetic progressions with difference 24. Batut C. & Olivier M. : Sem. Theor. Nombres. Bordeaux (1979-1980), 25 pages. xxxix Sur l?acceleration de la convergence de certaines fractions continues. Batyrev V.V. & Tschinkel Yu. : 4º Conf. Canad. Numb. Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 39-48. O Rational points on toric varieties. Bauer F. L. : J. Soc. Ind. Appl. Math. 8 (1960), 1-17. lxxi The g-algorithm. Bauer F. L. : The Math. Intelligencer 20 (1998), 12-13 & 38. O An infinite product for square-rooting with cubic convergence. Bauer G. : J. Reine Angew. Math. 56 (1859), 101-121. xlix Von den coefficienten der reihen von kugelfunctionen einer variablen. Bauer G. : Abh. der Kgl. Bayer Akad. der Wiss. München, Zwiete Klasse 11 (1872), 96-116. xc /xcii Von einem kettenbruch von Eulers und einem theorem von Wallis. Bauer M. : Linear Algebra & Appl. 174 (1992), 183-213. c / cxvii Dilatations and continued fractions. Bauer M. & Bennett M. A. : The Ramanujan Journal 6 (2002), No.2, June, 209-270. O Applications of the Hypergeometric Method to the Generalized Ramanujan-Nagell Equation. Baum L. E. & Sweet M. M. : Annals of Math. 103 (1976), 593-610. xcvi Continued fractions of algebraic power series in characteristic 2. Baum L. E. & Sweet M. M. : Annals of Math. 105 (1977), 573-580. xcvi Badly approximable power series in characteristic 2. Baumgart B. G. : The Fibonacci Quarterly 2 (1964), No.4, December, 260 & 302 & 313. O Letter to the editor. ( Tribonacci, Tetranacci, Pentanacci, Hexanacci Series...). Baweja K. K. & Kumar R. & Rai J. & Gary S. : Ganita 33 (1982), No.1-2, 50-52. cv-2 Sum of a double hypergeometric series. Baxa C. : Acta Math. Inform. Univ. Ostraviensis 2 (1994), No.1, 81-84. lxxx1 Fast growing sequences of partial denominators. Baxter R. J. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 69-84. O Ramanujan?s identities in statistical mechanics. Beals R. : GTM 12, 1973 / 1987, Springer Verlag. O Advanced Mathematical Analysis. Bean M. A. : 4º Conf. Canad. Number Theory 1994, K. Dilcher (ed.), 1995 AMS, 49-54. O The number of solutions of the Thue inequality. Bear R. S. C. : The Fibonacci Quarterly 2 (1964), No.3, October, 161-162. O Fibonacci drawing board. Beardon A. F. : Graduate Text Math. No. 132, Springer Verlag 1991. O Iteration of Rational Functions. Beardon A. F. : Journal of Computational and Aplpied Mathematics 131 (2001), Issue 1-2, 1 June, 143-148. #175 / m-01-pdf Worpitzky's theorem on continued fractions. Beardon A. F. & Lorentzen L. : Journal of Computational and Applied Mathematics 132 (2001), Issue 2, 15 July, 467-477. m-01 Approximants of Leszyski-Pringsheim Continued Fractions. Beck M. : The Ramanujan Journal 4 (2000), No.3, September, 299-310. O Counting Lattice Points by Means of the Residue Theorem. Beckmann P. : The Golem Press, 1970. O A History of Pi. Beckenbach E. F. : Amer. Math. Monthly 57 (1950), 1-6. cxxviii / cxlv A class of mean value functions. Becker H. W. & Riordan J. : Amer. J. Math. 70 (1948), 385-391. lxxvii The Artihmetic of Bell and Stirling numbers. Becker P. G. : Elemente der Mathematik 45 (1990), No.1, 1-8. lxxxvii Periodizitatseigenschaften p-adischer kettenbruche. Beckman A. & Fornberg B. & Tengvald A. : BIT 9 (1969), 78-80. xl A method for convergence acceleration of infinite series. Bedocchi E. : Annali Mat. Pura & Appl. Ser. 4ª 152 (1988), 197-207. xxv A note on p-adic continued fractions. Bedocchi E. : Boll. Un. Mat. Ital. A (7) 3 (1989), No.2, 209-214. xiii Remarks on periods of p-adic continued fractions. Bedocchi E. : Manuscripta Math. 67 (1990), No.2, 187-195. xxi Sur le developpement de root(m) en fraction continued p-adique. Bedocchi E. : Boll. Un. Mat. Ital. A (7) 7 (1993), No.2, 259-265. xiii Fractions continues p-adiques : periodes de longueur pair. Beebee J. : Amer. Math. Monthly 99 (1992), No.10, 946-948. O Bernoulli Numbers and Exact Covering Systems. Beerends R. J. & Opdam E. M. : Trans. Amer. Math. Soc. 339 (1993), No.2, 581-609. cxxxi Certain hypergeometric series related to the root system BC. Beeson M. : Journal of Symbolic Computation 32 (2001), 333-349. m-02 Automatic Derivations of the Irrationality of e. Behera A. & Panda G. K. : The Fibonacci Quarterly 37 (1999), No.2, May, 98-105. O On the Square Roots of Triangular Numbers. Belair J. & Milton J. G. : Applied Math. Letters 1 (1998), No.4, 339-342. xcvi Itinerary of a discontinuous map from the continued fractions expansion. Belevitch V. : SIAM J. Math. Anal. 13 (1982), 1024-1040. viii The Gauss hypergeometric ratio as a positive real function. Bell E. T. : A.M.S. Colloquium Vol. VII, American Mathematical Society, 1927. O Algebraic Arithmetic. ( Signature of G. H. Hardy ). Bell E. T. : Amer. Math. Monthly 35 (1928), 239-241. xlv Certain completely solvable systems of simultaneous diophantine equations. Bell E. T. : Annals of Math. 35 (1934), 258-277. lxxviii Exponential polynomials. Bell E. T. : Annals of Math. 39 (1938), 539-557. lxxviii The iterated exponential integers. Bell J. P. : Journal of Number Theory 87 (2001), No.1, March, 144-153. m-01 A Proof of a Partition Conjecture of Bateman and Erdos. Bellman R. : Amer. Math. Monthly 50 (1943), 318-319. #168 A note on divergence of a series. Bellman R. : Amer. Math. Monthly 53 (1947), 778-779. #168 A note on relatively primitive sequences. Bellman R. : Holt, Rinehart and Winston 1961. O A Brief Introduction to Theta Functions. Bellman R. E. & Roth R. S. : World Scientific, 1984. O The Laplace Transform. Bender C. M. & Milton K. A. : J. Math. Phys. 35 (1994), No.1, 364-367. ci Continued fraction as a discrete nonlinear transform. Bender E. A. : Proc. Amer. Math. Soc. 42 (1974), 16-22. cvi A lifting theorem for formal power series. Bendersky L. : Acta Math. Stockholm 61 (1933), 263-322. lxxix Sur la fonction gamma généralisée. Bennett M. A. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 55-65. O Simultaneous approximation to pairs of algebraic numbers. Berend D. & Boshernitzan M. D. : Acta Math. Hungarica 66 No.1-2 ( 1995), 113-126. xiv Number with complicated decimal expansions. Berg L. : Resultate der Mathematik 30 (1996), No.3-4, 225-227. cxlvii On an entry of Ramanujan concerning divergent series. Bergeron F. & Berstel J. & Brlek S. : J. Theorie Nombres Bordeaux 6 (1994), No.1, 21-38. xciv / civ Efficient computation of addition chains. Bergeron F. & Berstel J. & Brlek S. & Duboc C. : J. Algorithms 10 (1989), No.3, 403-412. lxxxi3 Additions chains using continued fractions. Berkovich A. & McCoy B. M. : Proc. Intern. Congress of Math. Berlin Vol. III (1998), 163-172. #159 Rogers-Ramanujan identities : A century of progress from Mathemtics to Physics. Berkovich A. & McCoy B. M. : The Ramanujan Journal 4 (2000), No.4, December, 353-383. O The Permutation phi2,1 of the M(p, p+1) Models of Conformal Field Theory and Related Polyn.-Character Identities. Berkovich A. & Paule P. : The Ramanujan Journal 5 (2001), No.4, December, 391-404. O Variants of the Andrews-Gordon Identities. Berkovich A. & Paule P. : The Ramanujan Journal 5 (2001), No.4, December, 409-425. O Lattice Paths, q-Multinomials and Two Variants of the Andrews-Gordon Identities. Berlekamp E. & Wolfe D. : 1994 AK Peters. O Mathematical Go, chilling gets the last point. Bernadac E. : C. R. Acad. Sci. Paris Ser. I Math. 315 (1992), No.3, 329-332. xcv Fractions continues sur les matrices symetriques reelles et la loi gaussienne inverse. Bernadac E. : C. R. Acad. Sci. Paris Ser. I Math. 316 (1993), No.8, 859-864. xcv Fractions continues aleatoires sur un cone symetrique. Bernadac E. : J. Theoretical Probability 8 (1995), No.2 (Abr.), 221-259. xxii Random continued fractions and inverse gaussian distribution on a symetric cone. Berndt B. C. : Rocky Mount. J. Math. 2 (1972), 151-157. lxxix On the Hurwitz zeta-function. Berndt B. C. : Canad. Math. Bull. 16 (1973), 381-387. lxii4 A new method in arithmetical functions and contour integration. Berndt B. C. : Trans. Amer. Math. Soc. 178 (1973), 495-508. xciv Generalized Dedekind eta-functions and generalized Dedekinds sums. Berndt B. C. : Maths. Mag. 48 (1975), 148-154. xliv Elementary evaluations of Zeta(2n). Berndt B. C. : J. Number Theory 7 (1975), 413-445. lvi Character analogues of the Poisson and Euler-Maclaurin summation formulas with applications. Berndt B. C. : J. Reine Angew. Math. 272 (1975), 182-193. lxxx Generalized Eisenstein series and modified Dedekind sums. Berndt B. C. : Acta Arithm. 28 (1975), 299-320. lxxxiii On Eisenstein series with characters and the values of Dirichlet L-functions. Berndt B. C. : J. London Math. Soc. (2) 13 (1976), 129-137. lxxx Dedekind sums and a paper of G. H. Hardy. Berndt B. C. : Rocky Mountain J. Math. 7 (1977), 147-189. xliv Modular transformations and generalizations of several formulae of Ramanujan. Berndt B. C. : J. Reine Angew. Math. 303 / 304 (1978), 332-365. vi1 Analytic Eisenstein Series, Theta functions and Series Relations in the Spirit of Ramanujan. Berndt B. C. : Math. Magazine 51 (1978), 147-164. xxxii Ramanujan?s notebooks. Berndt B. C. : L?Enseignement Math. 26 (1980), 1-65. cxxii Chapter 14 of Ramanujan?s second notebook. Berndt B. C. : Pacific J. Math. 103 (1982), 295-299. xli / lxxxii An arithmetic Poisson formula. Berndt B. C. : J. Indian Math. Soc. 46 (1982), 31-76. lvii Chapter 10 of Ramanujan?s second notebook. Berndt B. C. : Amer. Math. Monthly. 90 (1983), 505-516. iii The Quarterly Reports of S. Ramanujan. Berndt B. C. : Resultate der Math. 6 (1983), 7-26. cxxiii Chapter 6 of Ramanujan?s second notebook. Berndt B. C. : Bull. London Math. Soc. 15 (1983), 273-320. cxxi Chapter 11 of Ramanujan?s second notebook. Berndt B. C. : J. Reine Angew. Math. 338 (1983), 1-55. lvi Chapter 8 of Ramanujan?s second notebook. Berndt B. C. : Bull. London Math. Soc. 16 (1984), 449-489. xl Ramanujan?s quarterly reports. Berndt B. C. : Amer. Math. Monthly. 92 (1985), 126-129. f The gamma function and the Hurwitz zeta-function. Berndt B. C. : Number Theory Ooctacamund, India (1984), (ed.):K.Alladi, Lect. Notes Math. 1122 (1985), 47-55. O Remarks on some of Ramanujan?s number theoretical discoveries found in his second notebook. Berndt B. C. : The Math. Intell. 8 (1986), No.1, 25-30. O A Pilgrimage. Berndt B. C. : The Math. Intell. 10 No.3 (1988), 24-29. O Ramanujan -- 100 Years Old (Fashioned) or 100 Years New (Fangled) ?. Berndt B. C. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 313-333. O Ramanujan?s modular equations. Berndt B. C. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 15-20. O Introduction to Ramanujan's modular equations. Berndt B. C. : Number Theory, Madras (1987), (ed.): K. Alladi, Lect. Notes Math. 1395 (1989), 122-139. O Ramanuajn and the theory of prime numbers. Berndt B. C. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 23-29. O Ramanujan?s formulas for Eisenstein series. Berndt B. C. : Indian J. Math. 32 (1990), No.2, 179-185. xliii2 Some asymptotic formulas for q-series found in Ramanujan?s third notebook and "Lost Notebook". Berndt B. C. : Ganita 43 (1992), No.1-2, 33-43. xxxix On certain theta-function in a letter of Ramanujan from Fitzroy House. Berndt B. C.: CRM Proc. & Lect. Notes Vol. 1, Murty (ed.), Theta functions, A.M.S. (1993), 1-63. O Ramanujan?s theory of theta-functions. Berndt B. C. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), xiii-xxxvi. O Hans Rademacher 1892-1969. Berndt B. C. : Numb. Theory & Appl. Surikaisikenkyuusho Kokyuuroku No.1060, RIMS Kyoto Univ1998,111-118. f. The Remaining 40% of Ramanujan?s Lost Notebook. Berndt B. C. : Charlemagne & His Heritage:1200 Years of Civil.& Sci. In Europe Vol. 2 Math. Arts, 1998 119-146.f An Overview of Ramanujan?s Notebooks. Berndt B. C. & Bhargava S. : J. Math. Anal. Appl. 160 (1991), 504-524. v Ramanujan?s inversion formulas for the lemmniscate and allied functions. Berndt B. C. & Bhargava S. : Glasgow Math. J. 34 (1992), 341-345. xl A remarkable identity found in Ramanujan?s third notebook. Berndt B. C. & Bhargava S. : Amer. Math. Monthly 100 No.7 (1993), 644-656. O Ramanujan - For Lowbrows. Berndt B. C. & Bhargava S. & Garvan F. G. : Trans. Amer. Math. Soc. 347 (1995), 4163-4244. lxxv / lxxvi Ramanujan?s theories of elliptic functions to alternative bases. Berndt B.C. & Biagioli A.J. & Purtilo J.M. : J. Ramanuajn Math. Soc. 1 (1986), No.1-2, 46-70. O Ramanujan?s "mixed" modular equations. Berndt B.C. & Biagioli A.J. & Purtilo J.M. : J. Indian Math. Soc. 51 (1987),75-110. xxxiii Ramanujan?s modular equations of "large" prime degree. Berndt B.C. & Biagioli A.J. & Purtilo J.M. : Indian J. Math. 29 (1987), 215-228. xliii Ramanujan?s modular equations of degres 7 and 11. Berndt B.C. & Bialek P. : 4º Conf. Canad. Numb. Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 67-86. O Five formulas of Ramanujan arising from Eisenstein series. Berndt B.C. & Bowman D.C. : CMS Conf. Proc. 27 : Const. Exper. and Non-linear Analysis. 2000 AMS, 19-27. #166 Ramanujan?s short unpublished manuscript on integrals and series related to Euler constant. Berndt B. C. & Chan H. H. : Canadian J. Math. 47 (1995), No.5 (Oct.), 897-914. xxi Some values for the Roger-Ramanujan continued fraction. Berndt B. C. & Chann H. H. : Mathematika 42 (1995), 278-294. lxxiv Ramanujan?s explicit values for the classical theta-function. Berndt B.C. & Chan H.H. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta ... (Eds.), 1999 AMS, 7-16. O Notes on Ramanujan?s singular moduli. Berndt B. C. & Chan H. H. : Canad. Math. Bull. 212 (1999), No.4, 427-440. #164 Ramanujan and the modular j-invariant. Berndt B.C. & Chan H.H. & Huang S.S. & Kang S.Y. & Sohn J. & Son S.H. : J.C.&A.M. 105 (1999), 9-24. #161 The Rogers-Ramanujan continued fraction. Berndt B. C. & Chan H. H. & Liaw W. Ch. : Journal of Number Theory 88 (2001), No.1, May, 129-156. m-01 On Ramanujan's Quartic Theory of Elliptic Functions. Berndt B. C. & Chan H. H. & Sohn J. & Son S. H. : The Ramanujan Journal 4 (2000), No.1, March, 81-114. O Eisenstein Series in Ramanujan?s Lost Notebook. Berndt B. C. & Chan H. H. & Zhang L. C. : Acta Arith. 73 (1995), No.1, 67-85. xxii Ramanujans class invariants and cubic continued fraction. Berndt B. C. & Chan H. H. & Zhang L. C. : J. Reine Angew. Math. 480 (1996), 141-159. lviii Explicit evaluations of the Rogers-Ramanujan continued fraction. Berndt B. C. & Chan H. H. & Zhang L. C. : The Ramanujan Journal 1 (1997), No.1, 53-74. O Ramanujan?s Singular Moduli. Berndt B. C. & Chan H. H. & Zhang L. C. : Trans. Amer. Math. Soc. 349 (1997), 2125-2173. lxvi Ramanujan?s class invariants, Kronecker?s limit formula and modular equations. Berndt B.C. & Chan H.H. & Zhang L.C. : Special Functions, q-Series.. M.E.H. Ismail (Eds.), A.M.S. 1997, 37-53. O Ramanujan?s Class Invariants with Applications to the Values of q-Continued Fractions and Theta Functions. Berndt B. C. & Chan H. H. & Zhang L. C. : Proc. Edinburgh Math. Soc. 40 (1997), 583-612. lxxiv Ramanujan?s remarkable product of theta-functions. Berndt B. C. & Chan H. H. & Zhang L. C. : Amer. Math. Monthly 104 (1997), No.10, 905-911. #154 Ramanujan?s association with radicals in India. Berndt B. C. & Chan H. H. & Zhang L. C. : Acta Arithm. 87 (1998), No.2, 145-158. cxlvii Radicals and units in Ramanujan work. Berndt B.C. & Choi Y.S. & Kang S.Y. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Math. 236 (1999), 15-56. O The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society. Berndt B. C. & Diamond H. G. & Halberstam H. & Hildebrand A. (Eds.) : 1990 Birkhäuser Verlag. O Analytic Number Theory. Berndt B. C. & Dieter U. : J. Reine Angew. Math. 337 (1982), 208-220. xl Sums involving the greatest integer function and Riemann-Stieltjes integration. Berndt B. C. & Evans R. J. : J. Number Theory 11 (1979), 349-398. #170 Sums Gauss, Jacobi, and Jacobsthal. Berndt B. C. & Evans R. J. : Illinois J. Math. ?? (1979-1980), ???-???. #176 Sums of Gauss, Eisnestein, Jacobi, Jacobsthal and Brewer. Berndt B. C. & Evans R. J. : Expositiones Math. 2 (1984), 289-347. lvi Chapter 13 of Ramanujan?s Second Notebook: Integrals and Asymptotic expansions. Berndt B. C. & Evans R. J. : J. Reine Angew. Math. 361 (1985), 118-134. #152 Extensions of asymptotic expansions from chapter 15 of Ramanujan?s second notebook. Berndt B. C. & Evans R. J. : Acta Arithm. 47 (1986), 123-142. lvi Chapter 15 of Ramanujan?s Second Notebook : part 2 , modular forms. Berndt B. C. & Evans R. J. : Proc. 1ª Conf. Canadian Number Theory ( Banff, AB, 1988), (Gruyter 1990),1-6. O An integral functional equation of Ramanujan related to the dilogarithm. Berndt B. C. & Evans R. J. : J. Computational & Appl. Math. 37 (1991), No.1-3, 35-41. xxvi Some elegant approximations and asymptotic formulas of Ramanujan. Berndt B. C. & Evans R. J. : Proc. Edinburgh Math. Soc. (2) 35 (1992), No.2, 189-199. lxxiv Asymptotic expansions of a series of Ramanujan. Berndt B. C. & Evans R. J. : The Rademacher Legacy to Math. Contemporary Math. A.M.S. 166 (1994), 1-7. O On Rademacher?s multiplier system for the classical theta-function. Berndt B. C. & Evans R. J. & Wilson B. M. : Adv. in Math. 49 (1983), 123-169. cxxi Chapter 3 of Ramanujan?s second notebook. Berndt B. C. & Galway W. F. : The Ramanujan Journal 4 (2000), No.1, March, 41-42. O On the Brocard-Ramanujan Diophantine Equation n! + 1 = m^2. Berndt B. C. & Gesztesy F. (eds.) : Contemporary Mathematics Vol. 236 (1999), AMS, xviii + 379 pp. O Continued Fractions : from analytic number theory to constructive approximation. A Volume in Honor of L.J. Lange. Berndt B. C. & Gesztesy F. : Contemporary Mathematics Vol. 236 (1999), xii-xiv. O L. J. Lange on his 70th birthday. Berndt B. C. & Hafner J. L. : Proc. Indian Acad. Sci. (Math. Sci.) 104 (1994), 245-252. lxii2 Two remarkable doubly exponential series transformations of Ramanujan. Berndt B. C. & Huang S. S. & Sohn J. & Son S. H. : Trans. Amer. Math. Soc. 352 (2000), No.5, 2157-2177. #164 Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan lost notebook. Berndt B. C. & Joshi P. T. : Contemporary Mathematics Vol. 23 (1983), AMS, 83 pp. O Chapter 9 of Ramanujan?s second notebook : Infinite series identities, transformations and evaluations. Berndt B. C. & Joshi P. T. & Wilson B. M. : Glasgow Math. J. 22 (1981), 199-216. cxxi Chapter 2 of Ramanujan?s second notebook. Berndt B. C. & Lamphere R. L. & Wilson B. M. : Rocky Mount. J. Math. 15 (1985), 235-310. xliv Chapter 12 of Ramanujan?s Second Notebook : continued fractions. Berndt B. C. & Ono K. : Séminaire Lotharingien de Combinatoire 42 (1998), B42c. 63pp. F.ps Ramanujan?s Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary. Berndt B. C. & Ono K. (eds.) : 2001 American Mathematical Society. O Q-Series with Applications to Combinatorics, Number Theory and Physics. Berndt B. C. & Rankin R. A. : (Special Indian Edition ), 1997 Affiliated East West Press. O Ramanujan Letters and Commentary. Berndt B. C. & Rankin R. A. (Eds.) : American Mathematical Society, 2001. O Ramanujan : Essays and Surveys. Berndt B.C. & Schoenfeld L. : Acta Arithm. 28 (1975), 23-68. xlvii2 Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with appl. to N.T. Berndt B. C. & Wilson B. M. : Proc. Royal Soc. Edinburgh 89 A (1981), 87-109. lvii Chapter 4 of Ramanujan Second Notebook. Berndt B. C. & Wilson B. M. : Knopp, M.I. (Ed.) : Anal. Numb. Theory, Lect. Notes Math. 899 (1981), 49-78. cxxviii Chapter 5 of Ramanujan?s second notebook. Berndt B. C. & Zhang L. C. : Math. Ann. 292 (1992), 561-573. lxxvii Ramanujan identities for eta-functions. Berndt B. C. & Zhang L. C. : J. Number Theory 48 (1994), 224-242. #169 A new class of theta-function identities originating in Ramanujan?s notebooks. Bernoulli D. : Ouvres - Werke - Opera. lxxxvi Adversaria analytica miscellanea de fractionibus continuis. Bernstein F. & Szász O. : Mathematische Annalen 76 (1915), 295-300. xlvii2 Über irrationalität unendlicher kettenbrüche mit einer anwendung auf die reihe S(q^v^2 X^v). Bernstein V. : 1933 Gauthier Villars. O Leçons sur les Progrès Récents de la Théorie des Séries de Dirichlet. Berrizbeitia P. & Elliot P. D. T. A. : The Ramanujan Journal 2 (1998), No.1/2, 219-223. O On Products of Shifted Primes. Berry A. : Amer. J. Math. 30 (1908), 156-169. xxxi On elliptic modular equations for transformations of order 29, 31, 37. Berry T. G. : Arch. Math (Basel) 55 (1990), No.3, 259-266. lxxx On periodicity of continued fractions in hyperelliptic functions fields. Bertin M. J. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 17-23. O The operator x+(1/x)-2 and the reciprocal integers. Bertolini M. & Darmon H. : B. Engquist & W. Schmid : Math. Unlimited 2001 & Beyond, Springer 2001, 109-170. O The p-adic L-Functions of Modular Elliptic Curves. Bertram W. : C. R. Acad. Sci. Paris Ser. I Math. 316 (1993), No.11, 1161-1166. ciii Generalisation d?une formule de Ramanujan dans le cadre de la transformation de Fourier spherique associe... Bertram W. : J. Functional Analysis 148 (1997), No.1, 117-151. #151 Ramanujan?s master theorem and duality of simmetric spaces. Bertrand D. : The Ramanujan Journal 1 (1997), No.4, 339-350. O Thta Functions and Transcendence. Berwick W. E. : Proc. London Math. Soc. 28 (1927), 53.69. lxxix Modular invariants, expresible in terms of quadratic and cubic irrationalities. Beskin N. : Mir Moscu, 1980-87. O Fracciones Maravillosas. Bessenrodt C. : European J. Combinatorics 12 (1991), 271-276. A combinatorial proof of the Andrews-Olsson partition identity. Bessenrodt C. : J. Comb. Theory Ser. A 69 (1995), No.1, (Jan), 159-167. xcviii On a theorem od Alladi and Gordon and the Gaussian polynomials. Beukers F. : Bull. London Math. Soc. 11 (1979), 268-272. xviii A note on the irrationality of zeta(2) and zeta(3). Beukers F. : Bull. London Math. Soc. 11 (1979), 268-272. Pi : A source book, 434-438. A note on the irrationality of zeta(2) and zeta(3). Beukers F. : Acta Arithmetica 38 (1981), 389-410. #153 / #159 On generalized Ramanujan-Nagell equation. I. Beukers F. : Acta Arithmetica 39 (1981), 113-123. #153 / #159 On generalized Ramanujan-Nagell equation. II. Beukers F. : J. Number Theory 21 (1985), 141-155. #170 Some congruences for the Apéry numbers. Beukers F. : J. Number Theory 25 (1987), 201-210. #170 Another congruence for the Apéry numbers. Beukers F. : Asterisque 147-148 (1987), 271-283 & 345. #157 / #152 Irrationality proofs using modular forms. Beukers F. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 25-33. O Integral points on cubic surfaces. Beukers F. & Bézivin J.P. & Robba P. : Amer. Math. Monthly 97 (1990), No.3, 193-197, Pi : A source book, 649-653. An alternate proof of the Lindemann-Weierstrass theorem. Beukers F. & Heckman G. : Invent. Math. 95 (1989), 325-354. #174 Monodromy for the hypergeometric function nFn-1. Beukers F. & Peters Ch. A. M. : J. Reine Angew. Math. 351 (1984), 42-54. #155 A family of k3 surfaces and zeta(3). Beyer W. A. & Louck J. D. & Stein P. R. : J. Math. Phys. 28 (1987), No.3, 497-508. cvii Group theoretical bases of some identities for the generalized hypergeometric series. Beynon W. M. : J. Algorithms 4 (1983), 221-240. lxii4 A formal account of some elementary continued fractions algorithms. Bezivin J. P. : C. R. Acad. Sci. Paris Ser. I Math. 318 (1994), No.11, 991-994. xciv Fractions continues et suites recurrentes. Bhagirathi N. A. : Mathematics Student 56 (1988), No.1-4, 97-104, (1989). xix / O On certain continued fractions an q-series. Bhagirathi N. A. : Mathematics Student 56 (1988), No.1-4, 135-141, (1989). xix / O On basic bilateral hypergeometric series and continued fractions. Bhagirathi N. A. : Mathematics Student 56 (1988), No.1-4, 158-170, (1989). xix / O On certain investigations in q-series and continued fractions. Bhagirathi N. A. : Mathematics Student 59 (1991), No.1-4, 190-192. xix / O A note on certain papers of Neera A. Bhagirathi. Bhargava S. : J. Indian Math. Soc. 57 (1991), 35-44. xxxiii / ? Some series inversions akin to Ramanujan?s inversion formulas for the lemniscate function. Bhargava S. : Ganita 43 (1992), 63-67. xliii2 On a family of Ramanujan?s formulas for sums of fourth powers. Bhargava S. : J. Math. Anal. Appl. 193 (1995), 543-558. lxxv / cxiv On unification of the cubic analogues of the Jacobian theta-function. Bhargava S. & Adiga C. : Proc. Amer. Math. Soc. 92 (1984), 13-18. i On some continued fraction identities of Srinivasa Ramanujan. Bhargava S. Adiga C. : Number Theory, India (1984), Ed.: K. Alladi, Lect. Notes Math. 1122 (1985), 56-62. O Two generalizations of Ramanujan?s continued fraction identities. Bhargava S. & Adiga C. : Indian J. Pure Appl. Math. 17 (1986), 338-342. xliii3 A basic hypergeometric transformation of Ramanujan and a generalization. Bhargava S. & Adiga Ch. : Internat. J. Math. Ed. Sci. Tech. 18 (1987), No.2, 318-320. liv On two elliptic theta-function identities stated by Srinivasa Ramanujan. Bhargava S. & Adiga Ch. : Internat J. Math. Ed. Sci. Tech. 19 (1988), 779-782. liv Simple proofs of Jacobi?s two and four square theorems. Bhargava S. & Adiga C. & Somashekara D. D. : Proc. Indian Acad. Sci. (Math.Sci.) 97 (1987), 31-43. O On Some generalizations of Ramanujan?s continued fraction identities. Bhargava S. & Adiga C. & Somashekara D. D. : J. Math. Phys. Sci. 21 (1987), No.6, 613-629. xxxiv2 On certain continued fractions related to 3phi2 basic hypergeometric functions. Bhargava S. & Adiga C. & Somashekara D. D. : Math. Student 57 (1989), 88-100. xxxiv2 Parity results deducible from certain theta function identities found in chapter 16 of Ramanujan?s second notebook. Bhargava S. & Adiga C. & Somashekara D.D. : Proc. Symp. Algeb. Number Theory, Kerala 1990, 23-29. O / f Some relations between infinite series and infinite products. Bhargava S. & Adiga C. & Somashekara D. D. : Bull. Austral. Math. Soc. 44 (1991), No.1, 149-154. ciii An estimate of Ramanujan to the greatest integer function. Bhargava S. & Adiga C. & Somashekara D. D. : Comment. Math. Univ. St. Pauli 41 (1992), No.2, 125-134. xcv / lxii4 A generalization of Shiokawa?s rational approximation to the Rogers-Ramanujan continued fraction. Bhargava S. & Adiga C. & Somashekara D.D. : Indian J. of Math. 41 (1999), No.1, 39-42. cv-3 Ramanujan?s 1phi1 summation and an interesting generalization of an identity of Jacobi. Bhaskaran M. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 77-84. O Some applications of Tchebotarev density theorem. Bhatnagar G. : The Ramanujan Journal 3 (1999), No.2, June, 175-203. O Dn Basic Hypergeometric Series. Bhatnagar G. & Milne S. C. : Adv. in Math. 131 (1997), 188-252. cxviii Generalized bibasic hypergeometric series and their U(n) extensions. Bhatnagar N. : Proc. Indina Acad. Sci. Math. Sci. 107 (1997), No.1, 95-100. cv-3 Discrete Fourier transform computation using prime Ramanujan numbers. Bhatnagar G. & Schlosser M. : Constr. Approx. 14 (1998), 531-567. cxlv Cn and Dn very-well-poised 10phi9 transformations. Biagioli A. J. : Glasgow Math. J. 31 (1989), No.3, 271-295. li A proof of some identities of Ramanujan using modular forms. Biagioli A. J. F. : Acta Artihmetica 54 (1990), 273-300. xxxix2 / cx The construction of modular forms as products of transforms of the Dedekind eta-function. Bicknell-Johnson M. : The Fibonacci Quarterly 41 (2003), No.2, May, 169-180. O Stern's Diatomic Array Applied to Fibonacci REpresentations. Bicknell-Johnson M. & Fielder D. C. : The Fibonacci Quaterly 37 (1999), No.1, February, 47-60. O The Number of Representations of N Using Distinct Fibonacci Numbers, counted by Recursive Formulas. Bicknell M. & Hoggarr V. E. Jr. : The Fibonacci Quarterly 1 (1963), No.2, April, 47-52. O Fibonacci matrices and lambda functions. Bieberbach L. : Amer. Math. Soc. - Chelsea, 1949-53-64-2000. O Conformal Mapping. Biermann K. R. : J. Reine Angew. Math. 216 (1964), 159-198. lxxix Thomas Clausen. Mathematiker und Astronom. Biler P. & Nadzieja T. : Prepint, August 1990 Wroclaw University. O Differential Equations : A Collection of Exercises, Problems, Theorems, Examples and Countreexamples. Birch B. J. : J. London Math. Soc. 42 (1967), 149-151. #160 Multiplicative functions with non-decreasing normal order. Birch B. J. : Mathematika 16 (1969), 283-294. liv Weber?s class invariants. Birch B. J. : Math. Proc. Cambridge Philos. Soc. 78 (1975), 73-79. xxv A look back at Ramanujan?s notebooks. Birch B. J. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 600. O Commentary : ( With P. Erdös), On the addition of residue classes mod p. ( Heilbronn). Birch B. J. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 602. O Commentary : On the average length of a class of finite continued fractions. (Heilbronn). Birch B. J. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 602-603. O Commentary : On the 2-class group of cubic fields. Birch B. J. & Vaughan R. C. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 576-585. O The Papers on Waring?s Problem. Birch R. H. : (1946), 173-174. Pi : A source book, 274-275. An algorithm for the construction of arctangent relations. Birkhoff G. (ed.) : Harvard University Press 1973. O A Source Book in Classical Analysis. Bissinger B. H. : Bull. Amer. Math. Soc. 50 (1944), 868-876. cix A generalization of continued fraction. Blackwell P. : Amer. Math. Soc. 78 (1971), No.3, March, 273. f An alternative proof of a theorem of Erdös and Szekeres. Blanch G. : SIAM Rev. 6 (1964), 383-421. vi2 Numerical evaluation of continued fractions. Blanksby P. E. : J. Austral Math. Soc. 10 (1969), 145-154. xiv A result for semi-regular continued fractions. Blecksmith R. F. : Thesis 1983. F The Determination of Ramanujan Pairs. Blecksmith R. & Brillhart J. & Gerst I. : Math.of Comp.46 (1986), 731-749. #169 A computer assisted investigation of Ramanjan pairs. Blecksmith R. & Brillhart J. & Gerst I. : Math. Comp. 48 (1987), 29-38. xli / cxiii Parity results for certain partition functions and identities similar to theta function identities. Blecksmith R. & Brillhard J. & Gerst I. : Math. Comp. 51 (1988), 301-314. xxxix2 / cxii Some infinite products identities. Blecksmith R. & Brillhard J. & Gerst I. : Math. Comp. 61 (1993), 83-95. #159 A fundamental modular identity and some applications. Blij F. van der : Math. Student 18 (1950),. 83-99. #160 The function tau(n) of Ramanujan. Block D. : Scripta Math. 21 (1955), 208-213. cix Some properties of the convergents of root(2). Blom J. : J. Austral. Math. Soc. Ser. A 53 (1992), No.1, 78-91. xiv Metrical properties of best approximants. Bloom D. M. : The Fibonacci Quarterly 2 (1964), No.3, October, 218. O Corrected factorizations of Fibonacci numbers. Blümer F. : Comm. Math. Helvetici 10 (1937-1938), 18-41. lxiii Über die güte der approximation einer reelen zahl durch die näherungbrüche ihre halregelmässigen... Blümer F. : Comm. Math. Helvetici 10 (1937-1938), 97-109. lxiii Über das wachtum der näherungsnenner halbregelmässiger kettenbrüche. Blümer F. : Acta Arithm. 3 (1939), 3-63. lxxxi1 Über die verschiedenen Kettenbruchentwicklungen beliebiger reele zahlen und die peirodischen Kettenbuchen... Blyth C. R. & Pathak P. K. : Amer. Math. Monthly 93 (1986), No.5, 376-379. Ó A note on esay proofs of Stirling?s theorem. Bo D. : Amer. Math. Monthly 97 No.9 (1990), 836. O A Simple Derivation of the Maclaurin Series for Sine and Cosine. Boas R. P. Jr. : J. London Math. Soc. 21 (1946), 102-105. cix Poisson?s summation formula in L^2. Boas R. P. Jr. : Academic Press Inc. Publishers N.Y. 1954. O Entire functions. Boas R. P. Jr. : Archiv der Math. 11 (1960), 350-351. #151 A series considered by Ramanujan. Boas R. P. Jr. : Amer. Math. Monthly 84 (1977), 237-258. xlix Partial sums of infinite series, and how they grow. Boas R. P. & Pollard H. : Amer. Math. Monthly 80 (1973), No.1, 18-25. lxxxiii Continuous analogues of series. Böcherer S. : Proc. Symp. Pure Math. 49, part 2, Theta Functions Bowdoin 1987 A.M.S. (1989), 3-17. O Siegel modular forms and theta series. Bochner S. : Annals of Math. (2) 53 (1951), 332-363. lii Some properties of modular relations. Bochner S. & Chandrasekharan K. : Annals of Math. 63 (1956), 336-360. #156 On Riemann?s functional equation. Bodendiek R. & Halbritter U. : Abh. Math. Sem. Univ. Hamburg 38 (1972), 147-167. lxxxiv Über die transformation formel von log n(t) und gewisser Lambertscher Reihen. Bodnar D. I. : Ukrainian Math. J. 41 (1989), No.11, 1339-1343. xxiii Convergence test of Pringsheim type for branching continued fractions. Bodnar D. I. : Ukrainian Math. J. 43 (1991), No.4, 437-444. xcviii Correslonding branched continued fractions with linear partial numerators for doible power series. Bodnar D. I. : J. Soviet Math. 67 (1993), No.5, 3265-3268. lxxxv On Koch?s convergence test for branching continued fractions. Böhmer P. E. : Math. Ann. 96 (1926), 367-377. lix Über die transzendenz gewisser dyadische brüche. Böhmer P. E. : Math Ann. 96 (1926), 735. lix erratum : Über die transzendenz ... Bojanov B. & Sri Ranga A. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 57-70. O Some examples of moment preserving approximation. Bollobás B. : Eureka 48 (1988), 81-98. xxxvi / ? Ramanujan - a glimpse of his life and his mathematics. Bóna M. : The Ramanujan Journal 3 (1999), No.2, June, 215-220. O Partitions with k Crossings. Bonan-Hamada C.M. & Jones W.B. & Njastad O. : RC ... C. F. V 1996, Dekker (1998), LNPAM 199, 15-30. O Natural solutions of indeterminate strong Stieltjes moment problems derived from PC-fractions. Bonan-Hamada C. M. & Jones W. B. & Thron W. J. : Numer. Algorithms 3 (1992), No.1-4, 67-74. xcviii Para-orthogonal Laurent polynomials and associated sequences of rational functions. Bonan-Hamada C.M. & Jones W.B. & Thron W.J. & Magnus A. : P. C.F IV, Dekker LNPAM 154 (1994), 1-21. O Discrete distribution functions for log-normal moments. Bonan-Hamada C.M. & Jones W.B. & Thron W.J. & Njastad O. : C. F. V 96, Dekker LNPAM 199 (1998), 31-55. O A class of indeterminate strong Stieltjes moment problem with discrete distributions. Bonse : Arch. der Math. u. Phys. (3) 12 (1907), 292-295. lxxx Über eine bekamte Eigenschaff der Zahl 30 und ihre Verallgemeinerung. Boo R. C. : Amer. Math. Monthly 94 (1987), 662-663. O An elementary proof of SUM (n>=1) 1/n^2 = (3Dpi^2)/6. Boos J. : 2000 Oxford University Press. O Classical and Modern Methods in Summability. Borchardt C. W. : J. Reine Angew. Math. 48 (1854), 69-104. civ Application des transcendantes abéliennes à la théorie des fractions continues. Borel A. & Chowla S & Herz C. S. & Iwasawa K. & Serre J. P. : Lect. Notes Math. 21, Springer Verlag 1966. O Seminar on Complex Multiplication. Borel A. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 45-52. O On the set of discrete subgrups of bounded covolume in a semisimple group. Borel J. P. : Monatsh. Math. 110 (1990), No.3-4, 207-216. xcvii Suites dont la discrepance est comparable a un logarithme. Borodoin A. & Fagin R. & Hopcroft J. E. & Tompa M. : J. Symbolic Comput. 1 (1985), 169-188. cxlvii Decreasing the nesting depth of expressions involving square roots. Borodin A. & Munro I. : American Elsevier 1975. O The Computational Complexity of Algebraic and Numerical Problems. Boros G. & Moll V. H. : Journal of Computational & Appl. Math. 130 (2001), Issue 1-2, 1 May, 337-344. #175 / m-01-pdf The double square root, Jacobi polynomials and Ramanujan's master theorem. Boros G. & Moll V. B. : Mathematics of Computation 71 (2002), No. 238, 649-668. m-02-pdf Landen Transformations and the Integration of Rational Functions. Bortolotti E. : Rend. Circl. Mat. di Palermo 6 (1892), 1-13. lxx Sulla generalizzazione delle frazioni continue algebriche. Bortolotti E. : Rend. Circl. Mat. di Palermo 9 (1895), 136-149. lxxx Sulle frazioni continue algebriche periodiche. Bortolotti E. : Atti delle R. Accad. dei Lincei Ser. 5 Vol. 8 (1) (1899), 28-33. xlviii2 Sulla convergenze delle frazioni continue algebriche. Borwein D. & Borwein J. M. : Proc. Amer. Math. Soc. ?? (1994), ???-???. #151 On an intriguing integral and some series related to zeta(4). Borwein D. & Borwein J. M & Girgensohn R. : Proc. Edinburgh Math. Soc. 38 (1995), 277-294. #151 Explicit evaluation of Euler sums. Borwein D. & Borwein J. M. : The Ramanujan Journal 5 (2001), No.1, March, 73-89. O Some Remarkable Properties of Sinc and Related Integrals. Borwein D. & Borwein J. M. & Mares B. A. Jr. : The Ramanujan Journal 6 (2002), No.2, June, 189-208. O Multi-Variable Sinc Integrals and Volumes of Polyhedra. Borwein J. M. : Proc. Amer. Math. Soc. 95 (1985), 365-371. v Some modular identities of Ramanujan useful in approximating Pi. Borwein J. M. : Amer. Math. Monthly 98 No.8 (1991),735-739. O Nested Radicals. Borwein J. M. : The Math. Intelligencer 20 (1998), 14-15. O Brouwer-Heyting Sequences Convergence. (50b. PI) Borwein J.M. & Borwein P.B. : BIT 23 (1983), 538-540. xxx A very rapidly convergent product expansion for Pi. Borwein J.M. & Borwein P.B. : SIAM Rev. 26 (1984), 351-365. xl The Arithmetic-Geometric Mean and fast computation of elementary functions. Borwein J.M. & Borwein P.B. : SIAM Rev. 26 (1984), No.3, 351-365. Pi : A source book, 537-552. The Arithmetic-Geometric Mean and fast computation of elementary functions. Borwein J. M. & Borwein P. B. : Canad. Math .Bull. 27 (1984), 436-443. cxxiv / cxxxv Cubic and hifher order algorithms for Pi. Borwein J. M. & Borwein P. B. : Math. Comput. 46 (1986), 247-253. cxxiv More quadratically converging algorithms for Pi. Borwein J.M. & Borwein P.B. : Amer. Math. Monthly 94 (1987), No.6, 519-522. O The Way of All Means. Borwein J.M. & Borwein P.B. : Proc. Indian Acad. Sci. (Math. Sci.) 97 (1987), 53-59. O Explicit Ramanujan-type approximations to pi of high order. Borwein J.M. & Borwein P.B. : J. Indian Math. Soc. 51 (1987), 147-160. xlviii2 / lvii Ramanujan?s rational and algebraic series for 1/Pi. Borwein J. M. & Borwein P. B. : Scientific American 256 (1988), 112-117. Pi : A source book, 588-595. Ramanujan and Pi. Borwein J. M. & Borwein P. B. : Ramanujan Rev. , Proc. Cent. Conf. Univ. Illinois (1987), AP (1988), 359-374. O More Ramanujan-type series for 1/pi. Borwein J. M. & Borwein P. B. : Rocky Mountain J. Math. 19 (1989), No.1, 93-102. xxxix / xliii Approximating Pi with Ramanujan "Solvable" Modular Equations. Borwein J. M. & Borwein P. B. : Lect. Not. Math. No.1435 (1990), 27-31. O A remarkable cubic mean iteration. Borwein J. M. & Borwein P. B. : Trans. Amer. Math. Soc. 323 (1991), 691-701. v A cubic counterpart of Jacobi?s identity and the AGM. Borwein J. M. & Borwein P. B. : Amer. Math. Monthly 99 (1992), No.7, 622-640. O Strange series and high precision fraud. Borwein J. M. & Borwein P. M. : Notices Amer. Math. Soc. 39 (1992), 825-829. #160 Some observations on computer aided analysis. Borwein J. M. & Borwein P. M. : J. Comput. Appl. Math. 46 (1993), No.1-2, 281-290. xxxix2 / upv-i1 Class number three Ramanujan type series for 1/Pi. Borwein J. M. & Borwein P. B. : J. Number Theory 43 (1993), No.3, 293-318. c / cxviii On the generatin function of the integer part : Borwein J. M. & Borwein P. B. : J. Math. Anal. & Appl. 177 (1993), 572-582. #171 Inequalities for compound mean iterations with logarithmic asymptotes. Borwein J.M. & Borwein P. B. & Bailey D. H.: Amer. Math. Month. 96 (1989), No.3, 201-219. O Ramanujan, Modular Equations and Approximations to Pi, or How to compute one Billion digits of pi. Borwein J.M. & Borwein P. B. & Bailey D. H. : Amer. Math. M. 96(1989), No.3, 201-219, Pi : A source book, 623-641. Ramanujan, Modular Equations, and Approximations to Pi or How to Compute one Billon Digits of Pi. Borwein J. M. & Borwein P. B. & Dilcher K.:Amer. Math. Monthly 96 No. 8 (1989), 681-687. O Pi, Euler Numbers, and Asymptotic Expansions. Borwein J. M. & Borwein P. B. & Dilcher K. : Amer. Math. M. 96 (1989), No.9, 681-687, Pi : A source book, 642-648. Pi, Euler Numbers, and Asymptotic Expansions. Borwein J. M. & Borwein P. M. & Garvan F. G. : Trans. Amer. Math. Soc. 343 (1994), No.1, 35-47. v Some cubic modular identities of Ramanujan. Borwein J. M. & Borwein P. B. & Jörgenson L. & Corless R. (eds.) : CMS cpNo. 20, 1997 Amer. Math. Scoiety. O Organic Mathematics. Borwein J. M. & Bradley D. M. : SIGSAM Bull. of Symbolic and Algebraic Manipulation. 30 (2) (1996), 2-7. cxlv Searching symbolically for Apéry-like formulae for values of the Riemann zeta function. Borwein J. M. & Bradley D. M. : Experimental Math. 6 (1997), 181-194. cxlvii & F.ps Empirically determined Apéry-like formulae for zeta(4n + 3). Borwein J. M. & Bradley D. M. & Crandall R. E. : J. Comput. & Appl. Math. 121 (2000), No.1-2, 247-296. #161 Computational strategies for the Riemann zeta function. Borwein J. M. & Girgensohn R. : Canad. J. Math. 47 (1995), 262-273. lxxxii Addition theorems and binary expansions. Borwein J. M. & Zucker I. J. : IMA J. Numer. Anal. 12 (1992), 519-526. lxxv / cxiv Fast evaluation of the gamma function for small rational using complete elliptic integrals of the 1º kind. Borwein P. B. : Math. Scandinavica 53 (1983), 114-124. #156 Rational approximations to Stieltjes transforms. Borwein P. B. : Construc. Approx. 4 (1988), 391-402. #157 / #152. Padé approximants for the q-elementary functions. Borwein P. B. : J. Number Theory 37 (1991), No.3, 253-259. cxxxv On the irrationality of S(1/q^n+r). Borwein P. B. : Math. Proc. Cambridge Philos. Soc. 112 (1992), 141-146. #163 On the Irrationality of Certain Series. Borwein P.: CMS Conf. Proc. 27, Constructive. Experimental and. Non-linear Analysis 2000 AMS, ???-???. #166 An efficient algorithm for the Riemann zeta function. Borwein P. & Erdelyi T. : The Ramanujan Journal 1 (1997), No.3, 309-323. O Markov - and Berstein-Type Inequalities for Polynomials with Restricted Coefficients. Bos M. K. & Misra K. C. : Comm. Algebra 22 (1994), No.10, 3965-3983. cii / cxix Level two representations of A^2 /7 and Rogers-Ramanujan identities. Bosma W. : Indag. Math. 49 (1987), 353-379. lx Optimal continued fractions. Bosma W. : Math. Comput. 54 (1990), No.189, 421-434. ci / cxix Approximation by mediants. Bosma W. & Jager H. & Wiedijk F. : Indag. Math. 45 (1983), 281-299. lx Some metrical observations on the approximation by continued fractions. Bosma W. & Kraaikamp C. : J. Number Theory 34 (1990), No.3, 251-270. xv Metrical theory for optimal continued fractions. Bosma W. & Kraaikamp C. : J. Austral. Math. Soc. Ser. A 50 (1991), No.3, 481-504. xiv Optimal approximation by continued fractions. Bottazzini U. : Springer Verlag 1986. O The Higher Calculus : A History of Real and Complex Analysis from Euler to Weierstrass. Bousquet-Mélou M. & Eriksson K. : The Ramanujan Journal 1 (1997), No.1, 101-111. O Lecture Hall Partitions. Bousquet-Mélou M. & Eriksson K. : The Ramanujan Jorunal 1 (1997), No.2, 165-185. O Lecture Hall Partitions II. Boutin A. : Mathesis (2) 17 (1897), 8-13. xxxvii / ? Développement de root(x) en fraction continue. Bowman D. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 155-165. O Modified convergence for q-continued fractions defined by functional relations. Bowman D. & Choi G. : J. Number Theory 85 (2000), No.2, December, 158-171. #167 Rational Approximation to a New Generalization of the Rogers-Ramanujan Continued Fraction. Bowman D. & Choi G. : J. Math. Anal. & Appl. 243 (2000), No.2, March, 338-343. #167 G-continued fractions for basic hypergeometric functions. Bowman K. O. & Shenton L. R. : Communications Stat. Simulat. & Comput. 16 (1987), No.4, 1189-1207. xciii / ??? Sums of powers of binomial coefficients. Boyce W. E. & DiPrima R. C. : 1998 Limusa. O Ecuaciones Diferenciales y Problemas con Valores en la Frontera. Boyd D. W. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 301-308. O Large factors of small polynomials. Boylan M. : The Ramanujan Journal 5 (2001), No.4, December, 385-390. O Congruences for 2F1 Hypergeometric Functions Over Finite Fields. Boylan M. : Journal of Number Theory 92 (2002), No.1, January, 131-138. m-01 Congruences for 2t-Core Partition Functions. Bracciali C. F. : B. C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 71-83. O Relations between certain symmetric strong Stieltjes distributions. Bracciali C.F. & Capela J.M.V. & Srin-Ranga A. : O. F., C. F. V 1996, Dekker LNPAM 199 (1998), 57-67. O Symmetric orthogonal L-polynomials in the complex plane. Braden B. : Amer. Math. Monthly 99 No.7 (1992), 649-655. O Calculating Sums of Infinite Series. Bradley H. C. : Amer. Math. Monthly 28 (1921), 305-307. #160 Question 45. Bradley D. : Proc. Amer. Math. Soc. 121 (1994), No.4, 1145-1149. cii / cxix /p/B/ramahyper.ps On a claim of Ramanujan about certain hypergeometric series. Bradley D. : Math. Proc. Cambridge Philos. Soc. 120 (1996), 391-401. lxxiv /P/B/ramagamma.ps Ramanujan?s formula for the logarithmic derivative of the gamma function. Bradley D. M. : The Ramanujan Journal 3 (1999), No.2, June, 159-173. O /P/B/rj.ps A Class of Series Acceleration Formulae for Catalan?s Constant. Bradley D. M. : The Ramanujan Journal 6 (2002), No.3, September, 331-346. O /P/B/RamaZeta.ps Series Acceleration Formulas for Dirichlet Series with Periodic Coefficients. Bradshaw J. W. : Amer. Math. Monthly 45 (1938), 352-363. xlv Continued fractions and modified continued fractions for certain series. Bradshaw J. W. : Amer. Math. Monthly 46 (1939), 486-492. #162 Modified series. Bradshaw J. W. : Amer. Math. Monthly 49 (1942), 513-519. #162 Modified Continued Fractions. Bradshaw J. W. : Amer. Math. Monthly 51 (1944), 389-391. #155 ???. Braess D. : J. Approx. Theory 40 (1984), 375-379. cxxiv On the conjecture of Meinardus on rational approximation to e^a, II. Brag H. E. : Annals. of Math. (2) 20 (1918), 177-186. lviii Elementary properties of Stieltjes integrals. Brambilla N. & Montaldi I. : Math. Balkanica (N.S.) 11 (1997), No.1-2, 153-168. #149 Remarks on some series considered by Ramanujan. Branges L. de : Prentice-Hall 1968. O Hilbert Spaces of Entire Functions. Branges L. de & Rovnyak J. : Athena Series, Selec. Topics in Maths, Holt, Rinehart and Winston, 1966, 104pp. O Square Summable Power Series. Brannan D. A. : H. Clunie - Hayman (Eds.) : Symp.Complex Anal.. London Math. Soc. Lect. N.. Ser. 12 (1973), 17-27. #171 On Coefficient problems for certain power series. Brauer A. & Macon N. : Amer. J. Math. 71 (1949), 349-361. cix On the approximation of irrational numbers by the convergents of their continued fractions. Brauer A. & Macon N. : Amer. J. Math. 72 (1950), 419-424. cix On the approximation of irrational numbers by the convergents of their continued fractions. II. Brauer F. : Amer. Math. Monthly 94 (1987), No.5, 453-455. O A simplification of Taylor?s theorem. Braun M. : 4th ed. TAM 11, 1993 Springer Verlag. O Differential Equations and Their Applications. Bremner A. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 87-91. O On sums of three cubes. Bremner A. & R. K. Guy : Amer. Math. Monthly 95 (1988), No.1, 31-36. O A dozen difficult diophantine dilemmas. Brendt R. P. : Austral Math. Soc. Gaz. 20 (1993), No.5, 149-155. lxxxix An asymptotic expansion inspired by Ramanujan. Brennan T. A. : The Fibonacci Quarterly 2 (1964), No.2, April, 93-103. O Fibonacci powers and Pascal?s triangle in a matrix -- Part I. Brennan T. A. : The Fibonacci Quarterly 2 (1964), No.3, October, 177-184. O Fibonacci powers and Pascal?s triangle in a matrix -- Part II. Brenner C. H. : J. Combin. Theory Ser. A 43 (1986), No.2, 303-319. xcviii Asymptotic analogs of the Rogers-Ramanujan identities. Brent R. P. : Journal of the Assoc. Comput. Machin. 23 (1976), No.2, 242-251. Pi : A source book, 424-433. Fast multiple-precision evaluation of elementary functions. Brent R. P. : Math. Comp. 31 (1977), 771-777. v Computation of the regular continued fraction for Euler?s constant. Brent R. P. & McMillan E. M. : Math. Comput. 34 (1980), No.149, 305-312. Pi : A source book, 448-455. Some new algorithms for high-precision computation of Euler?s constant. Brent R. P. & Van der Porten & te Riele H.J.J. : Proc. 2ª Intetn. Symp. Algorit. Num. T. Bordeaux 1996, 35-47. lxxix A comparative study of algorithms for computing continued fractions of algebraic numbers. Bressoud D. M. : J. London Math. Soc. (2) 16 (1977), 9-18. #159 Some identities involving Rogers-Ramanujan-type functions. Bressoud D. M. : Thesis 1977. F Proof and Generalization of Certain Identities Conjetured by Ramanujan Bressoud D. M. : Pacific J. Math. 77 (1978), 71-74. cxxii A new family of partition identities. Bressoud D. M. : Proc. Amer. Math. Soc. 72 (1978), 89-94. cxxxii Applications of Andrews basic Lauricella transformation. Bressoud D. M. : J. Comb. Theory 27 (1979), 64-68. lxxx A generalisation of the Rogers-Ramanujan identities for all moduli. Bressoud D. M. : J. Reine Angew. Math. 305 (1979), 215-217. cxvi On a partition theorem of Göllnitz. Bressoud D. M. : Memoirs of the Amer. Math. Soc. 24 (1980), No.277, March, 54 pp. O Analytic and combinatorial generalizations of Rogers-Ramanujan identities. Bressoud D. M. : Proc. Amer. Math. Soc. 79 (1980), 338-340. cxvi Combinatorial proof of Schur?s 1926 partition theorem. Bressond D. M. : Quart. J. Math. (Oxford) (2) 31 (1980), 385-399. lxxxiv An analytic generalisation of the Rogers-Ramanujan identities with interpretation. Bressoud D. M. : Indiana Univ. Math. J. 29 (1980), 577-580. cxxviii A simple proff of Mehler?s formula for q-Hermite polynomials. Bressoud D. M. : J. Number Theory 12 (1980), 87-100. #172 Extension of the partition sieve. Bressoud D. M. : Proc. London Math. Soc. (3) 42 (1981), 478-500. cxxviii On partitions, orthogonal polynomials and the expansion of certain infinite products. Bressoud D. M. : Math. Proc. Cambridge Philos. Soc. 89 (1981), 221-223. lxxviii Some identities for terminating q-series. Bressoud D. M. : J. Numb. Theory 16 (1983), 235-241. v An easy proof of the Rogers-Ramanujan identities. Bressoud D. M. : Proc. Amer. Math. Soc. 88 (1983), 446-448. cxxxii A matrix inverse. Bressoud D. M. : Illinois J. Math. 30 (1986), 185-196. xciv Hecke modular forms and q-Hermite polynomials. Bressoud D. M. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 61-66. O Almost poised basic hypergeometric series. Bressoud D. M. : Ramanujan Revisited , Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 57-67. O The Bailey lattice : An introduction. Bressoud D. M. : Number Theory, Madras (1987), (ed.): K. Alladi, Lect. Notes Math. 1395 (1989), 140-172. O Lattice paths and the Rogers-Ramanujan identities. Bressoud D. M. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 31-39. O On the proof of Andrews?q-Dyson conjecture. Bressoud D. M. : Ramanujan Inter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 97-115. O Some directions for multiple hypergeometric series. Bressoud D. M. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 45-55. O In the land of Oz. Bressoud D. M. : Discrete Math. 99 (1992), No.1-3, 17-24. upv-il Unimodality of Gaussian polynomials. Bressoud D. M. : 1999 Mathematical Association of America & Cambridge University Press. O Proofs and Confirmations, The Story of the Alternating Sign Matrix Conjecture. Bressoud D. M. : The Ramanujan Journal 4 (2000), No.1, March, 69-80. O Elementary Proofs of Identities for Schur Function and Plane Partitions. Bressoud D. & Goulden I. P. : Trans. Amer. Math. Soc. 291 (1985), 203-228. cxxxii Constant term identities extending the q-Dyson theorem. Bressoud D. & Ismail M. E. H. & Stanton D. : The Ramanujan Journal 4 (2000), No.4, December, 435-453. O Charge of Base in Baileys Pairs. Bressoud D. M. & Plínio O. Santos J. & Mondek P. : The Ramanujan Journal 4 (2000), No.3, 311-315. O A Family of Partition Identities Proved Combinatorially. Bressoud D. M. & Zeilberger D. : Discrete Math. 38 (1982), 313-315. lvi A short Rogers-Ramanujan bijection. Bressoud D. M. & Zeilberger D. : Amer. Math. Monthly 92 (1985), 54-55. cxxi A bijective proof of Euler?s recurrence for the number of partitions of an integer. Bressoud D. M. & Zeilberger D. : Adv. in Math. 78 (1989), No.1, 42-75. cii / cxx Generalized Rogers-Ramanujan bijections. Breuer F. : The Ramanujan Journal 5 (2001), No.3, September, 311-317. O Heights of CM Points on Complex Affine Curves. Breusch R. : Michigan Math. J. 11 (1964), 311-315. cix An asymptotic formula for primes of the form 4n+1. Brezinski C. : Lect. Notes. Math. No. 584, Springer Verlag 1977. O Accélération de la Convergence en Analyse Numérique. Brezinski C. : 1978 Technip. O Algorithmes d' Accélération de la Convergence :Étude Numérique. Brezinski C. : 1980 Birkhäuser Verlag. O Padé-type Approximation and General Orthogonal Polynomials. Brezinski C. : H. Padé Oeuvres, Blanchard (1984), 7-54. O Documents sur la vie et l?oeuvre de Henri Padé. Brezinski C. : J. Computational & Appl. Math. 19 (1987), No.1, 67-74. xxvi Successive modifications of limit periodic continued fractions. Brezinski C. : Appl. Numer. Math. 4 (1988), No.2-4, 231-239. O On the asymptotic behaviour of continued fractions. Brezinski C. & Lembarki A. : J. Computational & Appl. Math. 19 (1987), 75-77. xxvi The linear convergence of limit periodic continued fractions. Brian R. : The Fibonacci Quarterly 2 (1964), No.4, December, 310-313. O The problem of the little old lady trying to cross the busy street or Fibonacci gained and Fibonacci relost. Briggs W. E. : Michigan Math. J. 3 (1955-1956), 117-121. lxxviii Some constants associated with the Riemann Zeta-function. Briggs W. E. & Buchman R. G. : Illinois J. Math. 5 (1961), 43-44. lxxviii The power series coefficients of functions defined by Dirichlet series. Briggs W. E. & Chowla S. : Amer. Math. Monthly 62 (1955), 323-325. lxxviii The power series coefficients of zeta(s). Briggs W.E. & Chowla S. & Kempner A.J. & Mientka W.E. : Scripta Mathematica 21 (1955), 28-30. lxxviii On some infinite series. Brigham E. O. : 8rd Impr. 1974 Prentice-Hall Inc. O The Fast Fourier Transform. Brigham N. : Proc. Amer. Math. Soc. 1 (1950), 182-191. #160 A general asymptotic formula for partition functions. Brigham N. : Proc. Amer. Math. Soc. 1 (1950), 192-204. #160 On a certain weighted partition function. Brillhart J. : The Fibonacci Quarterly 2 (1964), No.3, October, 220. O Remarks on a second order recurring sequence. Brillhart J. & Morton P. : Math. Comp. 65 (1996), 1379. lxxv / cxiv Table Errata : Heinrich Weber, Lerhbuch der Algebra Vol. 3, ?rd. ed. Chelsea N.Y. 1961. Brindza B. : Publ. Math. Debrecen 53 (1998), No.1-2, 225-233. cv-3 On a generalization of the Ramanujan-Nagell equation. Brindza B. & Erdös P. : J. Austral Math. Soc. Ser. A 51 (1991), No.1, 1-7. cxlvi On some Diophantine problems involving powers and factorials. Briot C. & Bouquet J. C. : 2nd ed. , 1er, Fascicule, Gauthier-Villars 1873. O Théorie des Fonctions Elliptiques. Briot C. & Bouquet J. C. : 2nd ed. 1875 Gauthier Villars. O Théorie des Fonctions Elliptiques. Broline D. M. : Amer. Math. Monthly 94 (1987), No.4, 380-381. O Counting partitions. Bromwich T. J. I?. A. : Mathematische Annalen 65 (1908), 350-369. cxxv On the limit of certain infinite series and integrals. Bromwich T. J. I?. A. : Proc. London Math. Soc. (2) 7 (1909), 101-106. cxli An asymptotic formula for the generalized hypergeometric series. Bromwich T. J. I'. A : 2nd. Ed. Macmillan 1926. O An Introduction to the Theory of Infinite Series. Bromwich T. J. I?. A. & Hardy G. H. : Proc. London Math. Soc. (2) 2 (1904), 161-189. cxli Some extensions to multiple series of Abel?s theorem on the continuity of power series. Bronstein M. : 1997 Springer Verlag. O Symbolic Integration I : Transcendental Functions. Brooke M. : The Fibonacci Quarterly 1 (1963), No.2, April, 60. O Fibonacci formulas, Letter to the Editor. Brooke M. : The Fibonacci Quarterly 2 (1964), No.2, April, 149-153. O Fibonacci numbers : Their history through 1900. Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.1, February, 34-42. O Additional factors of the Fibonacci and Lucas series. Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.1, February, 43-45. O On the form of primitive factors of 43 Fibonacci numbers. Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.1, February, 57-63. O Exploring Fibonacci numbers. Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.2, April, 81-84. O Exploring recurrent sequences. Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.3, October, 33-42. O Periodic properties of Fibonacci summations. Brother U. Alfred : The FibonacciQuarterly 1 (1963), No.3, October, 60. O Exploring Fibonacci polygons. Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.4, December, 43-46. O On the ordering of the Fibonacci sequence. Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.4, December, 53-56. O Dying rabbit problem revived. Brother U. Alfred : The Fibonacci Quaterly 1 (1963), No.4, December, 72. O Exploring the Fibonacci representation. Brother U. Alfred : The Fibonacci Qaurterly 2 (1964), No.1, February, 11-12. O On square Lucas numbers. Brother U. Alfred : The Fibonacci Qaurterly 2 (1964), No.1, February, 33-38. O Primes which are factors of all Fibonacci sequences. Brother U. Alfred : The Fibonacci Qaurterly 2 (1964), No.1, February, 42. O Exploring Fibonacci residues. Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.2, April, 81-92. O Some determinants involving powers of Fibonacci numbers. Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.2, April, 138. O Exploring Fibonacci numbers with a calculator. Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.3, October, 216. O Exploring Fibonacci magic squares. Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.4, December, 269-276. O Continued fractions of Fibonacci and Lucas ratios. Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.4, December, 318-319. O Exploring geometric-algebraic Fibonacci patterns. Brothers H. J. & Knox J. A. : Math. Intell. 20 (1998), No.4, 25-29. O New Colsed-Form Approximations to the Logarithmic Constant e. Brousseau Brother A. : The Fibonacci Quarterly 7 (1969), No.2, 143-168. O Summation of Infinite Fibonacci Series. Browkin J. & Schinzel A. : C. R. Acad. Sci. Paris 242 (1956), 1780-1781. #160 Sur les nombres de Mersennes qui sont triangulaires. Brown G. & Hewitt E. : Math. Annalen 268 (1984), 91-122. cxxxviii A class of positive trigonometric sums. Brown G. & Yin Q. : Osaka J. Math. 33 (1996), No.4, 951-970. cxlvi Metrical theory for Farey continued fractions. Brown J. L. Jr : The Fibonacci Qaurterly 1 (1963), No.1, February, 3-15. O A generalization of semi-completeness for integer sequences. Brown J. L. Jr. : The Fibonacci Quarterly 2 (1964), No.3, October, 163-168. O Zeckendorf?s theorem and some applications. Brown M. & Ismail M. E. H. : Proc. Amer. Math. Soc. 123 (1995), 2071-2079. cxxxvii A right inverse of the Askey-Wilson operator. Bruce J. M. : Amer. Math. Monthly 49 (1942), 184-185. #162 Approximation to a circular arc. Bruckman P. S. : The Fibonacci Quarterly 15 (1977), No.4, 293-310. O On the Evaluation of certain Infinite Series by Elliptic Functions. Bruggeman R. W. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 197-210. O On the distribution of Dedekind sums. Bruijn N. G. de : Duke Math. J. 17 (1950), 197-226. #160 The roots of trigonometric integrals. Bruin M. G. de : J. Approx. Theory 24 (1978), 177-207. lxiv / cxiii Convergence of generalized C-fractions. Bruin M. G. de : J. Comp. Appl. Math. 9 (1983), 271-278. xxviii New convergence results for continued fractions generated by four term recurrence relations. Bruin M. G. de : Indag. Math. 51 (1989), No.4, 385-407. #149 Updown generation of Beatty sequences. Bruin M.G. de & Driver K.A. & Lubinsky D.S. : Numer. Algorithms 3 (1992), No.1-4, 185-192. cxxix Convergence of simultaneous Hermite-Padé approximants to then-tuple of q-hypergeometric series 1phi1. Bruin M.G. de & Gilewicz J. & Runckel H.J. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 1-23. cxxxi A survey of bounds for the zeros of analytic functions obtained by continued fractions methods. Bruin M. G. de & Jacobsen L. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 161-176. cxxxi Modification of generalized continued fractions : I. Definition and application to the limit-periodic case. Bruin M. G. de & Van Rossum H. (Eds.) : Amsterdam 1980, Proceedings, LNM 888, 1981 Springer Verlag. O Padé Approximation and its Applications. Brun V. : Bull. Sci. Math. 43 (1919), 100-104 & 124-128. lxxvii La Série 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/19 + 1/29 + 1/31 + 1/41 + 1/43 + 1/59 + 1/61 + ... où les dénomiateurs... Brun V. & Knudsen F. F. : Math. Scand. 31 (1972), 231-236. #155 On the posibility of finding certain criteria for the irrationality of a number as a limit of a sequence of rational numbers Brunel M. G. : Bordeaux 1886. F Monographie de la Fonction Gamma. Buchmann J. : Publ. Math. Debrecen 37 (1990), No.1-2, 109-114. xxiv On generalized continued fraction expansion of period length. Buck M. W. & Robbins D. P. : J. Number Theory 50 (1995), No.2, 335-344. xcix / cxviii The continued fraction expansion of an algebraic power series satisfying a quadratic equation. Buck R. C. : International Series in Pure and Applied Mathematics, 1956 McGraw-Hill. O Advanced Calculus. Buck R. C. (ed.) : MAA Studies in Math. Vol. 1 , 1962 Mathematical Association of America. O Studies in Modern Analysis. Buckholtz J. D. : Proc. Amer. Math. Soc. 14 (1963), 564-568. lv Concerning an approximation of Copson. Buell D. A. : 5º Conf. Cand. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 35-53. O The last exhaustive computation of class groups of complex quadratic number fields. Buell D. A. & Teitelbaum J. T. (Eds.) : 1998 AMS. O Computational Perspectives on Number Theory. Bugeaud Y. : The Ramanujan Journal 2 (1998), No.4, 449-457. O Algebraic Numbers Close to 1 in Non-Archimedian Metrics. Bühler W. K. : Math. Intell. 7 No.2 (1985), 35-40. O The Hypergeometric Function - a biographical sketch. Bühring W. : SIAM J. Math. Anal. 18 (1987), No.3, 884-889. cxxx An analytic continuation of the hypergeometric series. Bühring W. : SIAM J. Math. Anal. 18 (1987), 1227-1234. lxxv / cxi The behaviour at unit argument of the hypergeometric function 3F2. Bülent Ekin A. : J. Combinatorial Theory Ser. A 83 (1998), No.2, 283-289. #150 Inequalities for the crank. Bultheel A. & Díaz-Mendoza C. & González-Vera P.&Orive R.:Berndt-Gesztesy :Cont.Math. 236 (1999), 85-100. O Estimates of the rate of convergence for certain quadrature formulas on the half-line. Bultheel A. & Diaz-Mendoza C. & Gonzalez-Vera P. & Orive R. : Math. Of Comput. 69 (2000), No.230, 721-747. #166 On the convergence of certain Gauss-type quadrature formulas for unbounded intervals. Bultheel A. & González-Vera P. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Math. 236 (1999), 101-126. O Wavelets by orthogonal rational kernels. Bultheel A. & Gonzalez-Vera P. & Hendriksen E. & Njastad O. : C.F. IV 92, Dekker, LNPAM 154 (1994), 23-46. O Reucrrence relations for orthogonal functions. Bultheel A. & Gonzalez-Vera P. & Hendriksen E. & Njastad O. : C.F. V 96 Dekker, LNPAM 199 (1998), 69-100. O Continued fractions and orthogonal rational functions. Bultheel A. & Gonzalez-Vera P. & Hendriksen E. & Njastad O. : C.F.V96 Dekker, LNPAM 199 (1998), 101-110. O Interpolation of Nevanlinna functions by rationals with poles on the real line. Bultheel A. & Van Barel M. : Appl. Numer. Math. 4 (1988), No.2-4. O A matrix Euclidean algorithm and the matrix minimal Padé approximation problem. Bundschuh P. : Invent. Math. 6 (1969), 275-295. #159 Arithmetische Untersuchungen unendliche produkte. Bundschuh P. : Invent. Math. 9 (1970), 175-184. #175 Ein satz über ganze funktionen und irrationalitätsaussagen. Bundschuh P. : Math. Annalen 192 (1971), 229-242. cxxviii Irrationalitätsmasse für e^a, a=/ 0 rational oder Liouville-Zahl. Bundschuh P. : Portugalia Math. 33 (1974), No.1, 1-47. #165 Verschärfung eines Arithmetischen Satzes von Tschakaloff. Bundschuh P. : J. Number Theory 18 (1984), 91-98. cxxxv Transcendental continued fractions. Bundschuh P. & Pethö A. : Monatsh. Math. 104 (1987), 199-223. #164 Zur transzendenz gewisser Reihen. Bundschuh P. & Väänänen K. : Compositio Math. 91 (1994), 175-199. #158 Arithmetical investigations of a certain infinite product. Bundschuh P. & Waldschmidt M. : Acta Arithm. 53 (1989), 289-307. lvi2 Irrationality results for the theta functions by Gel?fond-Schneider?s method. Burchnall J. L. . Quart. J. Math. Oxford Ser. 3 (1932), 318-320. lxv A relation between hypergeomretric series. Burchnall J. L. : Quart. J. Math. (Oxford) 10 (1939), 145-150. cxli The differential equations of Appell?s function F4. Burchnall J. L. : Quart. J. Math. (Oxford) 12 (1941), 9-11. cxli A note on polynomials of Hermite. Burchnall J. L. : Quart. J. Math. (Oxford) 13 (1942), 90-106. cxli Differential equations associated with hypergeometric functions. Burchnall J. L. : J. London Math. Soc. 23 (1948), 253-257. cxlii On the well-poised 3F2. Burchnall J. L. : Proc. London Math. Soc. (3) 1 (1951), 232-240. cxlii An algebraic property of the classical polynomials. Burchnall J. L. & Chaundy T. W. : Quart. J. Math. (Oxford) 11 (1940), 249-270. cxli Expansions of Appell?s double hypergeometric series. Burchnall J. L. & Chaundy T. W. : Quart. J. Math. (Oxford) 12 (1941), 112-128. cxli Expansions of Appell?s double hypergeometric functions. II. Burchnall J. L. & Chaundy T. W. : Proc. London Math. Soc. (2) 50 (1949), 56-74. cxxix The hypergeometric identities of Cayley, Orr and Bailey. Burchnall J. L. & Lakin A. : Quart. J. Math. (Oxford) (2) 1 (1950), 161-164. cxxxix The theorems of Saalschutz and Dougall. Burckel R. B. : 1979 Birkhäuser Verlag. O An Introduction to Classical Complex Analysis, Volume 1. Burge W. : Discrete Math. 34 (1981), 9-15. lxxxvi / upv-i1 / cv-2 A correspondance between partitions related to generalisation of the Rogers-Ramanujan identities. Burger E. B. & Dubois E. : C. R. Acad. Sci. Paris Ser. I Math. 319 (1994), No.5, 421-426. xcv Sur les quotients partiels de U-nombres dans un cops de series formelles (Laurent Series). Burger E. B. & Ch. S. Kollett : The Fibonacci Quarterly Vol. 34 No. 3 (1996), 200-212. O On the structure of quadratic irrationals associated with generalized Fibonacci and Lucas numbers. Buger M. & Li J. S. & Sarnak P. : Bull. Amer. Math. Soc. (N.S.) 26 (1992), No.2, 253-257. ciii Ramanujan duals and automorphic spectrum. Burkhardt H. : Math. Annalen 70 (1911), 169-206. cxlvi Über den Gebrauch divergenten Reihen in der zeit von 1750-1850. Burkill J. C. : University Math. Text, 1956 Oliver and Boyd. O The Theory of Ordinary Differential Equations. Burkill J. C. : Cambridge University Press 1964. O A First Course in Mathematical Analysis. Burkill J. C. : Bull. London Math. Soc. 11 (1979), 59-103. liii John Edensor Littlewood. Burkill J. C. & Burkill H. : 1970 Cambridge University Press. O A Second Course in Mathematical Analysis. Burnside W. : Messenger of Math. 12 (1883), 154-157. liii The elliptic functions of 1/3 K., & c. Burnside W. : Messenger of Math. 46 (1917), 157-159. #171 A rapidly convergens series for log N!. Burnside W. : Messenger of Math. 46 (1917), 159-???. #178 An approximate expression for Sum (1/(m+n)^r). Burrows B. L. & Talbot R. F. : Amer. Math. Monthly 91 (1984), No.7, 394-403. Ó Sums of Powers of Integers. Burwell W. R. : Proc. London Math. Soc. 22(1924), 57-72. cxli Asymptotic expansions of generalized hypergeometric functions. Busbridge I. W. : J. London Math. Soc. 14 (1939), 93-97. cxlii The evaluation of certain integrals involving products of Hermite polynomials. Busbridge I. W. : J. London Math. Soc. 23 (1948), 135-141. cxlii Some integrals involving Hermite polynomials. Busbridge I. W. : Quart. J. Math. (Oxford) (2) 1 (1950), 176-184. cxxxix On the integro-exponential function and the evaluation of some integrlas involving it. Busby R. C. & Fair W. : J. Comput. Appl. Math. 54 (1994), No.3, 377-387. xcix / upv-i1 Quadratic operator equations and periodic operator continued fractions. Buschman R. G. : Amer. Math. Monthly 67 (1960), 260-263. lxxviii Some infinite series for zeta(2n+1). Buschman R. G. : The Fibonacci Quarterly 1 (1963), No.4, December, 1-7, & 19. O Fibonacci numbers, Chebyshev polynomials, generalizations and difference equations. Buslaev V.I. & Gonchar A.A. & Suetin S.P. : Math. U.S.S.R. Sbornik 48 (1984), 535-540. cxxiv On the convergence of subsequences of the nth row of a Padé table. Bustoz J. : Proc. Amer. Math. Soc. 45 (1974), 69. cxxxvii Note on " Positive Cesàro means of numerical series ". Button J. O. : Journal of Number Theory 87 (2001), No.1, March, 77-95. m-01 Markoff Numbers, Pricipal Ideals and Continued Fraction Expansions. Butzer P.L. & Markett C. & Schmidt M. : Resultate der Mathematiker 19 (1991), 257-274. #155 Stirling numbers, cnetrla fractional numbers, and representations of the Rieman zeta functions. Byerly W. E. : 1881 / 1888 - 1926 G. E. Stechert And Company. O Elements of the Integral Calculus. Byrd P. F. : The Fibonacci Quarterly 1 (1963), No.1, February, 16-28. O Expansion of analytic functions in polynomials associated with Fibonacci numbers.