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In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory of special functions which developed out of statistics and mathematical physics. A modern, abstract point of view contrasts large function spaces, which are infinite-dimensional and within which most functions are 'anonymous', with special functions picked out by properties such as symmetry, or relationship to harmonic analysis and group representations.

See also List of types of functions

Contents

Elementary functionsEdit

Elementary functions are functions built from basic operations (e.g. addition, exponentials, logarithms...)

Algebraic functionsEdit

Algebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients.

Elementary transcendental functionsEdit

Transcendental functions are functions that are not algebraic.

Special functionsEdit

Basic special functionsEdit

Number theoretic functionsEdit

Antiderivatives of elementary functionsEdit

Gamma and related functionsEdit

Elliptic and related functionsEdit

Bessel and related functionsEdit

Riemann zeta and related functionsEdit

Hypergeometric and related functionsEdit

Iterated exponential and related functionsEdit

Other standard special functionsEdit

Miscellaneous functionsEdit

See alsoEdit

External linksEdit