Gamma

Gamma[z]
is the Euler gamma function .

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

Gamma[a,z0,z1]
is the generalized incomplete gamma function .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • 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 .
  • For certain special arguments, Gamma automatically evaluates to exact values.
  • Gamma can be evaluated to arbitrary numerical precision.
  • Gamma automatically threads over lists.
Introduced in 1988
(1.0)