NIST Digital Library of Mathematical Functions

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• 2016-12-21 DLMF Update; Version 1.0.14
• 2016-09-16 DLMF Update; Version 1.0.13
• 2016-09-09 DLMF Update; Version 1.0.12
• 2016-06-08 Future expansion
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Foreword Preface Mathematical Introduction 1 Algebraic and Analytic Methods 2 Asymptotic Approximations 3 Numerical Methods 4 Elementary Functions 5 Gamma Function 6 Exponential, Logarithmic, Sine, and Cosine Integrals 7 Error Functions, Dawson’s and Fresnel Integrals 8 Incomplete Gamma and Related Functions 9 Airy and Related Functions 10 Bessel Functions 11 Struve and Related Functions 12 Parabolic Cylinder Functions 13 Confluent Hypergeometric Functions 14 Legendre and Related Functions 15 Hypergeometric Function 16 Generalized Hypergeometric Functions & Meijer G-Function 17 q-Hypergeometric and Related Functions 18 Orthogonal Polynomials 19 Elliptic Integrals

20 Theta Functions 21 Multidimensional Theta Functions 22 Jacobian Elliptic Functions 23 Weierstrass Elliptic and Modular Functions 24 Bernoulli and Euler Polynomials 25 Zeta and Related Functions 26 Combinatorial Analysis 27 Functions of Number Theory 28 Mathieu Functions and Hill’s Equation 29 Lamé Functions 30 Spheroidal Wave Functions 31 Heun Functions 32 Painlevé Transcendents 33 Coulomb Functions 34 3j, 6j, 9j Symbols 35 Functions of Matrix Argument 36 Integrals with Coalescing Saddles Bibliography Index Notations List of Figures List of Tables Software Errata