Package org.apache.commons.numbers.gamma

Class RegularizedGamma.Q

java.lang.Object

org.apache.commons.numbers.gamma.RegularizedGamma.Q

Enclosing class:

RegularizedGamma

public static class RegularizedGamma.Q
extends java.lang.Object

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

Constructor Summary

Constructors

Constructor	Description
Q()

Method Summary

Modifier and Type	Method	Description
static double	value(double a, double x)	Computes the regularized gamma function \( Q(a, x) = 1 - P(a, x) \).
static double	value(double a, double x, double epsilon, int maxIterations)	Computes the regularized gamma function \( Q(a, x) = 1 - P(a, x) \).

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Q

public Q()

Method Detail

value

public static double value(double a,
                           double x)

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

Parameters:

a - Argument.

x - Argument.

Returns:

\( Q(a, x) \).

value

public static double value(double a,
                           double x,
                           double epsilon,
                           int maxIterations)

Computes the regularized gamma function \( Q(a, x) = 1 - P(a, x) \). The implementation of this method is based on:

• Regularized Gamma Function, equation (1).
• Regularized incomplete gamma function: Continued fraction representations (formula 06.08.10.0003)

Parameters:

a - Argument.

x - Argument.

epsilon - Tolerance in continued fraction evaluation.

maxIterations - Maximum number of iterations in continued fraction evaluation.

Returns:

\( Q(a, x) \).