The Commons Math User Guide - Special Functions Phil Steitz

The special functions portion of Commons-Math contains several useful functions not provided by java.lang.Math. These functions mostly serve as building blocks for other portions of Commons-Math but, as others may find them useful as stand-alone methods, these special functions were included as part of the Commons-Math public API.

org.apache.commons.math.special.Gamma contains several useful functions involving the Gamma Function.
FunctionMethodReference
Log GammalogGammaSee Gamma Function from MathWorld
Regularized GammaregularizedGammaPSee Regularized Gamma Function from MathWorld

org.apache.commons.math.special.Beta contains several useful functions involving the Beta Function.
FunctionMethodReference
Log BetalogBetaSee Beta Function from MathWorld
Regularized BetaregularizedBetaSee Regularized Beta Function from MathWorld