Beta

Advanced Analysis Library Only

double Beta (double x, double y, double *a);

Purpose

Computes the beta or incomplete beta function. The beta function is defined as follows:

The beta function relates to the gamma function through the following formula:


The incomplete beta function is defined as follows:

Parameters

Input
Name Type Description
x double-precision The input argument of the beta or incomplete beta function. Refer to the definition formula of the beta function for more information about x and y.
y double-precision The input argument of the beta or incomplete beta function. Refer to the definition formula of the beta function for more information about x and y.
a double-precision pointer The upper limit of the incomplete beta integral. If a is NULL, this function computes the complete beta function.

Return Value

Name Type Description
result double-precision The evaluated beta function value.