Special function/Related Articles: Difference between revisions

Revision as of 15:43, 8 December 2009

Catalogs ^[?]

A list of Citizendium articles, and planned articles, about Special function.

See also changes related to Special function, or pages that link to Special function or to this page or whose text contains "Special function".

Mathematical function [r]: Dependence between two quantities, one of which is given. ^[e]

Elementary function [r]: Mathematical functions built from a finite number of exponentials, logarithms, constants, one variable, and roots of equations through composition and combinations using the four elementary arithmetic operations (+ – × ÷). ^[e]

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-'''Special function''' is a [[mathematical function]] with established definition and known properties. Usually, for a special function, there exist algorithms for the efficient [[evaluation]]. Some of special functions are implemented in the [[programming language]]s.
-The Important class of special functions is [[elementary functions]] which are bult-up from the [[algebraic functions]], summation, multiplication, the exponential and the inverse functions.
-Most of special functions are defined with simple [[differential equation]]s or integrals of [[elementary function]]s, or [[inverse function]]s of some elementary functions.
-Many special functions are [[holomorphic function|holomorphic]] on some wide domains in the [[complex plane]].
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 Related Articles pages link to existing and proposed articles that are related to the present article.