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B

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

C

complement(double, double, double) - Static method in class org.apache.commons.numbers.gamma.IncompleteBeta
Computes the complement of the incomplete beta function B(x, a, b).
complement(double, double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedBeta
Computes the complement of the regularized beta function I(x, a, b).
complement(double, double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.IncompleteBeta
Computes the complement of the incomplete beta function B(x, a, b).
complement(double, double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.RegularizedBeta
Computes the complement of the regularized beta function I(x, a, b).

D

delta(double, double) - Static method in class org.apache.commons.numbers.gamma.GammaRatio
Computes the ratio of gamma functions of a value and an offset value.
derivative(double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.P
Computes the derivative of the lower regularized gamma function \( P(a, x) \).
derivative(double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.Q
Computes the derivative of the upper regularized gamma function \( Q(a, x) \).
derivative(double, double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedBeta
Computes the derivative of the regularized beta function I(x, a, b).
Digamma - Class in org.apache.commons.numbers.gamma

E

Erf - Class in org.apache.commons.numbers.gamma
Erfc - Class in org.apache.commons.numbers.gamma
Erfcx - Class in org.apache.commons.numbers.gamma
Scaled 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
Return the Lanczos constant \( g = \frac{607}{128} \).
Gamma - Class in org.apache.commons.numbers.gamma
Gamma function \( \Gamma(x) \).
GammaRatio - Class in org.apache.commons.numbers.gamma
Ratio of Gamma functions.

I

IncompleteBeta - Class in org.apache.commons.numbers.gamma
IncompleteGamma - Class in org.apache.commons.numbers.gamma
IncompleteGamma.Lower - Class in org.apache.commons.numbers.gamma
IncompleteGamma.Upper - Class in org.apache.commons.numbers.gamma
InverseErf - Class in org.apache.commons.numbers.gamma
Inverse of the error function.
InverseErfc - Class in org.apache.commons.numbers.gamma

L

LanczosApproximation - Class in org.apache.commons.numbers.gamma
Lanczos approximation to the Gamma function.
LogBeta - Class in org.apache.commons.numbers.gamma
Computes \( log_e B(p, q) \).
LogGamma - Class in org.apache.commons.numbers.gamma
Natural logarithm of the absolute value of \( \Gamma(x) \).

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

T

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

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
Returns the error function.
value(double) - Static method in class org.apache.commons.numbers.gamma.Erfc
Returns the complementary error function.
value(double) - Static method in class org.apache.commons.numbers.gamma.Erfcx
Returns the scaled complementary error function.
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 \( \ln \lvert \Gamma(x) \rvert \), the natural logarithm of the absolute value of \( \Gamma(x) \).
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.Beta
Computes the value of the beta function B(a, b).
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.GammaRatio
Computes the ratio of gamma functions of two values.
value(double, double) - Static method in class org.apache.commons.numbers.gamma.IncompleteGamma.Lower
Computes the lower incomplete gamma function \( \gamma(a, x) \).
value(double, double) - Static method in class org.apache.commons.numbers.gamma.IncompleteGamma.Upper
Computes the upper incomplete gamma function \( \Gamma(a, x) \).
value(double, double) - Static method in class org.apache.commons.numbers.gamma.LogBeta
Returns the value of \( \log B(p, q) \) for \( 0 \leq x \leq 1 \) and \( p, q > 0 \).
value(double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.P
Computes the lower regularized gamma function \( P(a, x) \).
value(double, double) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.Q
Computes the upper regularized gamma function \( Q(a, x) \).
value(double, double, double) - Static method in class org.apache.commons.numbers.gamma.IncompleteBeta
Computes the value of the incomplete beta function B(x, a, b).
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.IncompleteBeta
Computes the value of the incomplete beta function B(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.IncompleteGamma.Lower
Computes the lower incomplete gamma function \( \gamma(a, x) \).
value(double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.IncompleteGamma.Upper
Computes the upper incomplete gamma function \( \Gamma(a, x) \).
value(double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.P
Computes the lower regularized gamma function \( P(a, x) \).
value(double, double, double, int) - Static method in class org.apache.commons.numbers.gamma.RegularizedGamma.Q
Computes the upper regularized gamma function \( Q(a, x) \).
value(double, int[]) - Static method in class org.apache.commons.numbers.gamma.LogGamma
Computes the function \( \ln \lvert \Gamma(x) \rvert \), the natural logarithm of the absolute value of \( \Gamma(x) \).
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