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Foreword
Preface Mathematical Introduction 1 Algebraic and Analytic Methods R. Wong Wong, R. 1 2 Asymptotic Approximations R. Wong Wong, R. 41 3 Numerical Methods N. M. Temme Temme, N. M. 71 4 Elementary Functions F. W. J. Olver Olver, F. W. J. 103 5 Gamma Function R. Roy Roy, R. 135 6 Exponential, Logarithmic, Sine, and Cosine Integrals N. M. Temme Temme, N. M. 149 7 Error Functions, Dawson's and Fresnel Integrals N. M. Temme Temme, N. M. 159 8 Incomplete Gamma and Related Functions R. B. Paris Paris, R. B. 173 9 Airy and Related Functions F. W. J. Olver Olver, F. W. J. 193 10 Bessel Functions L. C. Maximon Maximon, L. C. 215 11 Struve and Related Functions R. B. Paris Paris, R. B. 287 12 Parabolic Cylinder Functions N. M. Temme Temme, N. M. 303 13 Confluent Hypergeometric Functions A. B. Olde Daalhuis Daalhuis, A. B. Olde 321 14 Legendre and Related Functions T. M. Dunster Dunster, T. M. 351 15 Hypergeometric Function A. B. Olde Daalhuis Daalhuis, A. B. Olde 383 16 Generalized Hypergeometric Functions and Meijer G-Function A. B. Olde Daalhuis Daalhuis, A. B. Olde 403 17 q-Hypergeometric and Related Functions G. E. Andrews Andrews, G. E. 419 18 Orthogonal Polynomials R. F. Swarttouw Swarttouw, R. F. 435 19 Elliptic Integrals B. C. Carlson Carlson, B. C. 485 20 Theta Functions P. L. Walker Walker, P. L. 523 21 Multidimensional Theta Functions B. Deconinck Deconinck, B. 537 22 Jacobian Elliptic Functions P. L. Walker Walker, P. L. 549 23 Weierstrass Elliptic and Modular Functions P. L. Walker Walker, P. L. 569 24 Bernoulli and Euler Polynomials K. Dilcher Dilcher, K. 587 25 Zeta and Related Functions T. M. Apostol Apostol, T. M. 601 26 Combinatorial Analysis D. M. Bressoud Bressoud, D. M. 617 27 Functions of Number Theory T. M. Apostol Apostol, T. M. 637 28 Mathieu Functions and Hill's Equation G. Wolf Wolf, G. 651 29 Lame Functions H. Volkmer Volkmer, H. 683 30 Spheroidal Wave Functions H. Volkmer Volkmer, H. 697 31 Heun Functions V. B. Kuznetsov Kuznetsov, V. B. 709 32 Painleve Transcendents P. A. Clarkson Clarkson, P. A. 723 33 Coulomb Functions I. J. Thompson Thompson, I. J. 741 34 3j, 6j, 9j Symbols L. C. Maximon Maximon, L. C. 757 35 Functions of Matrix Argument D. St. P. Richards Richards, D. St. P. 767 36 Integrals with Coalescing Saddles C. J. Howls Howls, C. J. 775 Bibliography 795 Notations 873 Index 887 |