com.numericalmethod.suanshu.analysis.function.special.gamma

Class GammaLowerIncomplete

java.lang.Object

com.numericalmethod.suanshu.analysis.function.rn2r1.BivariateRealFunction

com.numericalmethod.suanshu.analysis.function.special.gamma.GammaLowerIncomplete

All Implemented Interfaces:

Function<Vector,java.lang.Double>, RealScalarFunction, java.io.Serializable

public class GammaLowerIncomplete
extends BivariateRealFunction

The Lower Incomplete Gamma function is defined as: \[ \gamma(s,x) = \int_0^x t^{s-1}\,e^{-t}\,{\rm d}t = P(s,x)\Gamma(s) \] P(s,x) is the Regularized Incomplete Gamma P function.

The integrand has the same form as the Gamma function, but the upper limit of the integration is a variable. The lower limit is fixed.

See Also:

Wikipedia: Incomplete gamma function, Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from interface com.numericalmethod.suanshu.analysis.function.Function

Function.EvaluationException

Constructor Summary

Constructors

Constructor and Description
GammaLowerIncomplete()

Method Summary

Modifier and Type	Method and Description
double	evaluate(double s, double x) Evaluate \(\gamma(s,x)\).

Methods inherited from class com.numericalmethod.suanshu.analysis.function.rn2r1.BivariateRealFunction

dimensionOfDomain, dimensionOfRange, evaluate

Methods inherited from class java.lang.Object

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

Constructor Detail

GammaLowerIncomplete

public GammaLowerIncomplete()

Method Detail

evaluate

public double evaluate(double s,
                       double x)

Evaluate \(\gamma(s,x)\).

Specified by:

evaluate in class BivariateRealFunction

Parameters:

s - s > 0

x - x ≥ 0

Returns:

\(\gamma(s,x)\)