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

Class GammaUpperIncomplete

java.lang.Object

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

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

All Implemented Interfaces:

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

public class GammaUpperIncomplete
extends BivariateRealFunction

The Upper Incomplete Gamma function is defined as: \[ \Gamma(s,x) = \int_x^{\infty} t^{s-1}\,e^{-t}\,{\rm d}t = Q(s,x) \times \Gamma(s) \] The integrand has the same form as the Gamma function, but the lower limit of the integration is a variable. The upper 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
GammaUpperIncomplete()

Method Summary

Modifier and Type	Method and Description
double	evaluate(double s, double x) Compute Γ(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

GammaUpperIncomplete

public GammaUpperIncomplete()

Method Detail

evaluate

public double evaluate(double s,
                       double x)

Compute Γ(s,x).

Specified by:

evaluate in class BivariateRealFunction

Parameters:

s - s > 0

x - x ≥ 0

Returns:

Γ(s,x)