List of mathematical functions: Difference between revisions

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In [[mathematics]], some functions or groups of functions are not even definitively 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 space]]s, 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 representation]]s.

See also [[List of types of functions]]

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* [[Prime omega function]]s

* [[Chebyshev function]]s

* [[Liouville function]],: λ<math>\Lambda(''n'') = (–1-1)<sup>Ω^{\Omega(''n'')}</supmath>

* [[Von Mangoldt function]], Λ(''n'') = log&nbsp;''p'' if ''n'' is a positive power of the prime ''p''

* [[Carmichael function]]: <math>\lambda(n)=</math> The smallest integer <math>m</math> such that <math>a^m\equiv 1\pmod{n}</math> for all <math>a</math> coprime to <math>n</math>

* [[Carmichael function]]

* [[Radical of an integer|Radical function]]: The product of the distinct prime factors of a positive integer input.

===Antiderivatives of elementary functions===