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imported>Dmitrii Kouznetsov (New page: {{subpages}} '''Special function''' is a mathematical function with established definition and known properties. Usually, for a special function, there exist algorithms for the efficie...) |
imported>Dmitrii Kouznetsov mNo edit summary |
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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. | 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 | 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]]. | Many special functions are [[holomorphic function|holomorphic]] on some wide domains in the [[complex plane]]. | ||
Revision as of 03:30, 21 January 2009
- See also changes related to Special function, or pages that link to Special function or to this page or whose text contains "Special function".
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 languages.
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 equations or integrals of elementary functions, or inverse functions of some elementary functions.
Many special functions are holomorphic on some wide domains in the complex plane.
Parent topics
- Mathematical function [r]: Dependence between two quantities, one of which is given. [e]
Subtopics
- 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]