DLMF: NIST Digital Library of Mathematical Functions
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About the Project
NIST Digital Library of Mathematical Functions
Project News
2024-09-15
DLMF Update; Version 1.2.2
2024-09-15
Barry I. Schneider, General Editor of the DLMF, dies at age 83
2024-09-15
New Associate Editors for the DLMF
2024-06-15
DLMF Update; Version 1.2.1
More news
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
3
j
, 6
j
, 9
j
Symbols
35
Functions of Matrix Argument
36
Integrals with Coalescing Saddles
Bibliography
Index
Notations
List of Figures
List of Tables
Software
Errata
Companion to the
NIST Handbook of Mathematical Functions