Package org.apache.commons.numbers.gamma

Class IncompleteGamma.Lower

java.lang.Object

org.apache.commons.numbers.gamma.IncompleteGamma.Lower

Enclosing class:

IncompleteGamma

public static final class IncompleteGamma.Lower
extends Object

Lower incomplete Gamma function \( \gamma(a, x) \).

\[ \gamma(a,x) = \int_0^x t^{a-1}\,e^{-t}\,dt \]

Since:

1.1

Method Summary

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