beta
Evaluates the real beta function β(x, y).
Synopsis
#include <imsl.h>
float imsl_f_beta (float x, float y)
The type double procedure is imsl_d_beta.
Required Arguments
float x (Input)
Point at which the beta function is to be evaluated. It must be positive.
Point at which the beta function is to be evaluated. It must be positive.
float y (Input)
Point at which the beta function is to be evaluated. It must be positive.
Point at which the beta function is to be evaluated. It must be positive.
Return Value
The value of the beta function β (x, y). If no result can be computed, NaN is returned.
Description
The beta function, β (x, y), is defined to be
The beta function requires that x > 0 and y > 0. It underflows for large arguments.
Figure 12, Plot of β(x,y)
Example
Evaluate the beta function β (0.5, 0.2).
#include <imsl.h>
#include <stdio.h>
int main()
{
float x = 0.5;
float y = 0.2;
float ans;
ans = imsl_f_beta(x, y);
printf("beta(%f,%f) = %f\n", x, y, ans);
}
Output
beta(0.500000,0.200000) = 6.268653
Alert Errors
IMSL_BETA_UNDERFLOW | The arguments must not be so large that the result underflows. |
Fatal Errors
IMSL_ZERO_ARG_OVERFLOW | One of the arguments is so close to zero that the result overflows. |
