Package org.apache.commons.numbers.gamma

Γ (Gamma) and Β (Beta) family of functions.

See: Description

Class Summary

Class	Description
Digamma	Digamma function.
Erf	Error function.
Erfc	Complementary error function.
ErfDifference	Computes the difference between error function values.
Gamma	Gamma function.
InverseErf	Inverse of the error function.
InverseErfc	Inverse of the complementary error function.
LanczosApproximation	Lanczos approximation to the Gamma function.
LogBeta	Computes \( log_e \Beta(p, q) \).
LogGamma	Function \( \ln \Gamma(x) \).
RegularizedBeta	Regularized Beta function.
RegularizedGamma	Regularized Gamma functions.
RegularizedGamma.P	\( P(a, x) \) regularized Gamma function.
RegularizedGamma.Q	Creates the \( Q(a, x) \equiv 1 - P(a, x) \) regularized Gamma function.
Trigamma	Trigamma function.

Package org.apache.commons.numbers.gamma Description

Γ (Gamma) and Β (Beta) family of functions. Implementation of InvGamma1pm1 and LogGamma1p is based on the algorithms described in

• Didonato and Morris (1986), Computation of the Incomplete Gamma Function Ratios and their Inverse, TOMS 12(4), 377-393,
• Didonato and Morris (1992), Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios, TOMS 18(3), 360-373,

and implemented in the NSWC Library of Mathematical Functions.