Gamma Functions and Related Functions
As the basis for many other special functions, the Wolfram Language supports efficient arbitrary-precision evaluation of gamma functions, as well as an extensive web of relations and transformations—many original to Wolfram Research.
Gamma — complete and incomplete gamma function
Beta — complete and incomplete beta function
PolyGamma — polygamma function
LogGamma — logarithm of gamma function
Integer-Oriented Functions
Factorial (!) ▪ Factorial2 (!!) ▪ Pochhammer ▪ Binomial
Subfactorial ▪ FactorialPower ▪ Hyperfactorial
Regularized Functions
GammaRegularized ▪ BetaRegularized
Inverse Functions
InverseGammaRegularized ▪ InverseBetaRegularized