Evaluates the real incomplete beta function Ix = βx(a,b)/β(a,b).
Synopsis
#include <imsl.h>
float imsl_f_beta_incomplete (float x, float a, float b)
The type double procedure is imsl_d_beta_incomplete.
Required Arguments
float x
(Input)
Point at which the incomplete beta function is to be evaluated.
float a
(Input)
Point at which the incomplete beta function is to be evaluated.
float b
(Input)
Point at which the incomplete beta function is to be evaluated.
Return Value
The value of the incomplete beta function.
Description
The incomplete beta function is defined to be
The incomplete beta function requires that 0 ≤ x ≤ 1, a > 0, and b > 0. It underflows for sufficiently small x and large a. This underflow is not reported as an error. Instead, the value zero is returned.
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