Package org.apache.commons.numbers.gamma

Class IncompleteGamma.Upper

java.lang.Object

org.apache.commons.numbers.gamma.IncompleteGamma.Upper

Enclosing class:

IncompleteGamma

public static final class IncompleteGamma.Upper
extends Object

Upper incomplete Gamma function \( \Gamma(a, x) \).

\[ \Gamma(a,x) = \int_x^{\infty} t^{a-1}\,e^{-t}\,dt \]

Since:

1.1

Method Summary

Modifier and Type	Method	Description
static double	value(double a, double x)	Computes the upper incomplete gamma function \( \Gamma(a, x) \).
static double	value(double a, double x, double epsilon, int maxIterations)	Computes the upper incomplete gamma function \( \Gamma(a, x) \).

Methods inherited from class java.lang.Object

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

Method Detail

value

public static double value(double a,
                           double x)

Computes the upper incomplete gamma function \( \Gamma(a, x) \).

Parameters:

a - Argument.

x - Argument.

Returns:

\( \Gamma(a, x) \).

Throws:

ArithmeticException - if the series evaluation fails to converge.

value

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

Computes the upper incomplete gamma function \( \Gamma(a, x) \).

Parameters:

a - Argument.

x - Argument.

epsilon - Tolerance in series evaluation.

maxIterations - Maximum number of iterations in series evaluation.

Returns:

\( \Gamma(a, x) \).

Throws:

ArithmeticException - if the series evaluation fails to converge.