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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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 function
0.2 Antiderivatives of elementary functions
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 non-linear 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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-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 |
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Canonical name | IndexOfSpecialFunctions |
Date of creation | 2013-03-22 14:40:06 |
Last modified on | 2013-03-22 14:40:06 |
Owner | rspuzio (6075) |
Last modified by | rspuzio (6075) |
Numerical id | 35 |
Author | rspuzio (6075) |
Entry type | Topic |
Classification | msc 33-00 |
Related topic | ComplexFunction |
Related topic | ExponentialIntegral |
Related topic | SpecialCasesOfHypergeometricFunction |
Related topic | PropertiesOfOrthogonalPolynomials |