NIST Handbook of Mathematical Functions

Description

Contents Foreword Preface Mathematical Introduction 1 Algebraic and Analytic Methods R. Roy, F. W. J. Olver, R. A. Askey, R. Wong 2 Asymptotic Approximations F. W. J. Olver, R. Wong 3 Numerical Methods N. M. Temme 4 Elementary Functions R. Roy, F. W. J. Olver 5 Gamma Function R. A. Askey, R. Roy 6 Exponential, Logarithmic, Sine, and Cosine Integrals N. M. Temme 7 Error Functions, Dawson's and Fresnel Integrals N. M. Temme 8 Incomplete Gamma and Related Functions R. B. Paris 9 Airy and Related Functions F. W. J. Olver 10 Bessel Functions F. W. J. Olver, L. C. Maximon 11 Struve and Related Functions R. B. Paris 12 Parabolic Cylinder Functions N. M. Temme 13 Confluent Hypergeometric Functions A. B. Olde Daalhuis 14 Legendre and Related Functions T. M. Dunster 15 Hypergeometric Function A. B. Olde Daalhuis 16 Generalized Hypergeometric Functions and Meijer G-Function R. A. Askey, A. B. Olde Daalhuis 17 q-Hypergeometric and Related Functions G. E. Andrews 18 Orthogonal Polynomials T. H. Koornwinder, R. Wong, R. Koekoek, R. F. Swarttouw 19 Elliptic Integrals B. C. Carlson 20 Theta Functions W. P. Reinhardt, P. L. Walker 21 Multidimensional Theta Functions B. Deconinck 22 Jacobian Elliptic Functions W. P. Reinhardt, P. L. Walker 23 Weierstrass Elliptic and Modular Functions W. P. Reinhardt, P. L. Walker 24 Bernoulli and Euler Polynomials K. Dilcher 25 Zeta and Related Functions T. M. Apostol 26 Combinatorial Analysis D. M. Bressoud 27 Functions of Number Theory T. M. Apostol 28 Mathieu Functions and Hill's Equation G. Wolf 29 Lamé Functions H. Volkmer 30 Spheroidal Wave Functions H. Volkmer 31 Heun Functions B. D. Sleeman, V. B. Kuznetsov 32 Painlevé Transcendents P. A. Clarkson 33 Coulomb Functions I. J. Thompson 34 3j, 6j, 9j Symbols L. C. Maximon 35 Functions of Matrix Argument D. St. P. Richards 36 Integrals with Coalescing Saddles M. V. Berry, C. J. Howls Bibliography Notations Index