请输入您要查询的字词:

 

单词 IndexOfSpecialFunctions
释义

index of special functions


The term is not a completely precise mathematical term. It usually refers to a functionMathworldPlanetmath of one or more real or complex variables which is either of use in some application or interesting in its own right, and hence has been studied enough to warrant giving it a name. Special functions are usually named after the mathematician who first introduced them or contributed much to their theory although, as in the rest of mathematics, such attributions are not always accurate, and they should be taken with a grain of salt.

0.1 http://planetmath.org/node/6420Elementary Functions

  • exponentialMathworldPlanetmathPlanetmath

  • logarithmMathworldPlanetmath

  • http://planetmath.org/node/4676trigonometric functionsDlmfMathworld

  • http://planetmath.org/node/6169cyclometric functions

  • hyperbolic functionsDlmfMathworldPlanetmath

  • area functions

  • Gudermannian functionDlmfPlanetmath

  • http://planetmath.org/node/5744sinc function

0.2 Antiderivatives of elementary functions

  • error functionDlmfDlmfPlanetmath

  • logarithmic integralDlmfDlmfMathworldPlanetmathPlanetmath

  • exponential integralMathworldPlanetmath

  • cosine integralDlmfDlmfDlmfMathworldPlanetmath

  • sine integral

  • hyperbolic sine integralDlmfMathworldPlanetmath

  • Fresnel integralsDlmfDlmfDlmfDlmfMathworldPlanetmath

  • elliptic integralsMathworldPlanetmath

0.3 Gamma and related functions

  • gamma functionDlmfDlmfMathworldPlanetmath

  • beta functionDlmfDlmfMathworldPlanetmath

  • polygamma functionsDlmfMathworldPlanetmath

  • Barnes function

0.4 Functions defined as solutions of linear differential equations

  • Bessel functionsDlmfMathworldPlanetmathPlanetmath

  • hypergeometric functionDlmfDlmfDlmfMathworldPlanetmath

  • confluent hypergeometric function

  • generalized hypergeometric functionsDlmfDlmfDlmfMathworld

  • Hermite polynomialsDlmfDlmfDlmfMathworldPlanetmath

  • Legendre polynomialsMathworldPlanetmath

  • associated Laguerre polynomialsMathworldPlanetmath

  • spherical harmonicsDlmfDlmfMathworld

  • surface harmonics

  • Lamé function

  • Heun functionDlmfDlmfDlmf

0.5 Functions defined as solutions of non-linear equations

  • Painlevé transcendents

  • Emden function

  • Lambert W function

  • Airy functionsDlmfDlmfMathworld

0.6 Abelian functions

  • Jacobi theta functionsMathworldPlanetmath

  • Weierstrass sigma functionDlmfDlmfDlmfMathworldPlanetmath

  • Jacobi Zeta functionDlmfDlmfMathworld

  • Weierstrass zeta function

0.7 Zeta Functions

  • general Zeta functions (in the sense of Jorgensen and Lang)

  • Hecke zeta function

  • Hurwitz zeta functionDlmfDlmfMathworld

  • L-functions

  • Riemann zeta functionDlmfDlmfMathworldPlanetmath

  • Zeta functions of surfaces

  • Zeta functions of graphs

  • Zeta functions of operators

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/3 21:37:15