Special Functions

Special functions section describes implementation of non-elementary mathematical funtions.

Operations

Operation	Description	Performance
gamma	Computes the gamma function. Gamma(Double)
log gamma	Computes the natural logarithm of the absolute value of Gamma function. GammaLn(Double)
regularized upper incomplete gamma	Calculates regularized upper incomplete Gamma function. GammaUpperRegularized(Double, Double)
regularized lower incomplete gamma	Calculates regularized lower incomplete Gamma function. GammaLowerRegularized(Double, Double)
beta	Calculates Beta function of nonnegative real arguments. Beta(Double, Double)
ln beta	Calculates natural logarithm of Beta function of nonnegative real arguments. BetaLn(Double, Double)
regularized incomplete beta	Calculates value of regularized incomplete beta function with nonnegative real arguments. where is the incomplete beta function. BetaRegularized(Double, Double, Double)
complementary regularized beta	Calculates value of complementary regularized incomplete beta function with nonnegative real arguments. ComplementaryBetaRegularized(Double, Double, Double)
erf	Calculates error function (erf) value. ErrorFunction(Double)
erfc	Calculates complementary error function (erfc) value. ComplementaryErrorFunction(Double)
inv erf	Calculates inverse error function value. InverseErrorFunction(Double)
inv erfc	Calculates inverse complementary error function value. InverseComplementaryErrorFunction(Double)