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

Interface Gamma

All Known Implementing Classes:

GammaGergoNemes, GammaLanczos, GammaLanczosQuick

public interface Gamma

The Gamma function is an extension of the factorial function to real and complex numbers, with its argument shifted down by 1. For real numbers, it is defined as: \[ \Gamma(z) = \int_0^\infty e^{-t} t^{z-1} dt \]

See Also:

• Wikipedia: Gamma function
• Wikipedia: Lanczos approximation
• Wikipedia: Stirling's approximation
• Wikipedia: Spouge's approximation

Method Summary

Modifier and Type	Method and Description
double	evaluate(double x) Evaluate \(\Gamma(z) = \int_0^\infty e^{-t} t^{z-1} dt\).

Method Detail

evaluate

double evaluate(double x)

Evaluate \(\Gamma(z) = \int_0^\infty e^{-t} t^{z-1} dt\).

Parameters:

x - x

Returns:

\(\Gamma(z)\)