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D

Digamma - Class in org.apache.commons.numbers.gamma

Digamma function.

E

Erf - Class in org.apache.commons.numbers.gamma

Error function.

Erfc - Class in org.apache.commons.numbers.gamma

Complementary error function.

ErfDifference - Class in org.apache.commons.numbers.gamma

Computes the difference between error function values.

G

g() - Static method in class org.apache.commons.numbers.gamma.LanczosApproximation

Gamma - Class in org.apache.commons.numbers.gamma

Gamma function.

I

InverseErf - Class in org.apache.commons.numbers.gamma

Inverse of the error function.

InverseErfc - Class in org.apache.commons.numbers.gamma

Inverse of the complementary error function.

L

LanczosApproximation - Class in org.apache.commons.numbers.gamma

Lanczos approximation to the Gamma function.

LogBeta - Class in org.apache.commons.numbers.gamma

Computes \( log_e \Beta(p, q) \).

LogGamma - Class in org.apache.commons.numbers.gamma

Function \( \ln \Gamma(x) \).

O

org.apache.commons.numbers.gamma - package org.apache.commons.numbers.gamma

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

R

RegularizedBeta - Class in org.apache.commons.numbers.gamma

Regularized Beta function.

RegularizedGamma - Class in org.apache.commons.numbers.gamma

Regularized Gamma functions.

RegularizedGamma.P - Class in org.apache.commons.numbers.gamma

\( P(a, x) \) regularized Gamma function.

RegularizedGamma.Q - Class in org.apache.commons.numbers.gamma

Creates the \( Q(a, x) \equiv 1 - P(a, x) \) regularized Gamma function.

T

Trigamma - Class in org.apache.commons.numbers.gamma

Trigamma function.

V

value(double) - Static method in class org.apache.commons.numbers.gamma.Digamma

Computes the digamma function.

value(double) - Static method in class org.apache.commons.numbers.gamma.Erf

This implementation computes erf(x) using the regularized gamma function, following Erf, equation (3)

value(double) - Static method in class org.apache.commons.numbers.gamma.Erfc

This implementation computes erfc(x) using the regularized gamma function, following Erf, equation (3).

value(double) - Static method in class org.apache.commons.numbers.gamma.Gamma

Computes the value of \( \Gamma(x) \).

value(double) - Static method in class org.apache.commons.numbers.gamma.InverseErf

Returns the inverse error function.

value(double) - Static method in class org.apache.commons.numbers.gamma.InverseErfc

Returns the inverse complementary error function.

value(double) - Static method in class org.apache.commons.numbers.gamma.LanczosApproximation

Computes the Lanczos approximation.

value(double) - Static method in class org.apache.commons.numbers.gamma.LogGamma

Computes the function \( \ln \Gamma(x) \) for x >= 0.

value(double) - Static method in class org.apache.commons.numbers.gamma.Trigamma

Computes the trigamma function.

value(double, double) - Static method in class org.apache.commons.numbers.gamma.ErfDifference

The implementation uses either Erf or Erfc, depending on which provides the most precise result.

value(double, double) - Static method in class org.apache.commons.numbers.gamma.LogBeta

Returns the value of log B(p, q) for 0 ≤ x ≤ 1 and p, q > 0.

value(double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.P

Computes the regularized gamma function \( P(a, x) \).

value(double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.Q

Computes the regularized gamma function \( Q(a, x) = 1 - P(a, x) \).

value(double, double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedBeta

Computes the value of the regularized beta function I(x, a, b).

value(double, double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.RegularizedBeta

Computes the value of the regularized beta function I(x, a, b).

value(double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.P

Computes the regularized gamma function \( P(a, x) \).

value(double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.Q

Computes the regularized gamma function \( Q(a, x) = 1 - P(a, x) \).

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