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gamma function

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GammaFunction

"gamma function" is owned by yark. [ full author list (2) | owner history (1) ]

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Other names:

gamma-function, $\Gamma$ -function, Euler's gamma function, Euler's gamma-function, Euler's $\Gamma$ -function

Attachments:: multiplication formula for gamma function (Theorem) by rspuzio
incomplete gamma function (Definition) by rspuzio
digamma and polygamma function (Definition) by rspuzio
Euler reflection formula (Theorem) by rm50
evaluating the gamma function at 1/2 (Derivation) by CWoo
analytic continuation of gamma function (Derivation) by pahio
Hankel contour integral (Result) by perucho
values of gamma function for small positive real values (Data Structure) by PrimeFan

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Cross-references: real, positive, induction, functional equation, Euler's constant, simple poles, integers, complex plane, analytic continuation, function, factorial
There are 49 references to this entry.

This is version 40 of gamma function, born on 2001-11-17, modified 2007-10-22.
Object id is 955, canonical name is GammaFunction.
Accessed 34681 times total.

Classification:

AMS MSC:	33B15 (Special functions :: Elementary classical functions :: Gamma, beta and polygamma functions)
	30D30 (Functions of a complex variable :: Entire and meromorphic functions, and related topics :: Meromorphic functions, general theory)

Pending Errata and Addenda

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