NIST Digital Library of Mathematical Functions
Project News
- 2026-09-15 DLMF Update; Version 1.2.8; Improved responsive web design
- 2026-06-15 DLMF Update; Version 1.2.7
- 2026-03-15 DLMF Update; Version 1.2.6
- 2025-12-15 DLMF Update; Version 1.2.5
- 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 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
Companion to the
NIST Handbook of Mathematical Functions