# 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

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

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

• http://planetmath.org/node/5744$\operatorname{sinc}$ function

## 0.3 Gamma and related functions

• Barnes function

## 0.4 Functions defined as solutions of linear differential equations

• confluent hypergeometric function

• Lamé function

## 0.5 Functions defined as solutions of non-linear equations

• Painlevé transcendents

• Emden function

## 0.7 Zeta Functions

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

• Hecke zeta function

• $L$-functions

• Zeta functions of surfaces

• Zeta functions of graphs

• Zeta functions of operators

Title index of special functions IndexOfSpecialFunctions 2013-03-22 14:40:06 2013-03-22 14:40:06 rspuzio (6075) rspuzio (6075) 35 rspuzio (6075) Topic msc 33-00 ComplexFunction ExponentialIntegral SpecialCasesOfHypergeometricFunction PropertiesOfOrthogonalPolynomials