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Gamma

Usage

Gamma[z] is the Euler gamma function  .
Gamma[a, z] is the incomplete gamma function  .
Gamma[a,  ,  ] is the generalized incomplete gamma function  .


Notes

• Mathematical function (see Section A.3.10).
• The gamma function satisfies  .
• The incomplete gamma function satisfies  .
• The generalized incomplete gamma function is given by the integral  .
• Note that the arguments in the incomplete form of Gamma are arranged differently from those in the incomplete form of Beta.
Gamma[z] has no branch cut discontinuities.
Gamma[a, z] has a branch cut discontinuity in the complex z plane running from  to  .
FullSimplify and FunctionExpand include transformation rules for Gamma.
• Implementation notes: see Section A.9.4.
• New in Version 1.


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