index of special functions
The term is not a completely precise mathematical term. It usually refers to a function^{} 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

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exponential^{}

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logarithm^{}

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http://planetmath.org/node/4676trigonometric functions^{}

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http://planetmath.org/node/6169cyclometric functions
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http://planetmath.org/node/5744$\mathrm{sinc}$ function
0.2 Antiderivatives of elementary functions
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0.3 Gamma and related functions
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Barnes function
0.4 Functions defined as solutions of linear differential equations
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confluent hypergeometric function
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associated Laguerre polynomials^{}
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Lamé function
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0.5 Functions defined as solutions of nonlinear equations

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Painlevé transcendents

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Emden function
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0.6 Abelian functions
0.7 Zeta Functions

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

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Hecke zeta function
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$L$functions
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Zeta functions of surfaces

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Zeta functions of graphs

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Zeta functions of operators
Title  index of special functions 

Canonical name  IndexOfSpecialFunctions 
Date of creation  20130322 14:40:06 
Last modified on  20130322 14:40:06 
Owner  rspuzio (6075) 
Last modified by  rspuzio (6075) 
Numerical id  35 
Author  rspuzio (6075) 
Entry type  Topic 
Classification  msc 3300 
Related topic  ComplexFunction 
Related topic  ExponentialIntegral 
Related topic  SpecialCasesOfHypergeometricFunction 
Related topic  PropertiesOfOrthogonalPolynomials 