List of mathematical functions

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In mathematics, many 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

Elementary functions

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

Algebraic functions

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

Elementary transcendental functions

Transcendental functions are functions that are not algebraic.

Special functions

Basic special functions

Number theoretic functions

Antiderivatives of elementary functions

Gamma and related functions

Elliptic and related functions

Bessel and related functions

Riemann zeta and related functions

Hypergeometric and related functions

Iterated exponential and related functions

Other standard special functions

Miscellaneous functions

External links

pl:Funkcje elementarne