beta
Evaluates the complete beta function.
Synopsis
#include <imsls.h>
float imsls_f_beta (float a, float b)
The type double procedure is imsls_d_beta.
Required Arguments
float a (Input)
First beta parameter. It must be positive.
First beta parameter. It must be positive.
float b (Input)
Second beta parameter. It must be positive.
Second beta parameter. It must be positive.
Return Value
The value of the beta function β(a, b). If no result can be computed, then NaN is returned.
Description
The beta function, β(a, b), is defined to be
Example
Evaluate the beta function β(0.5, 0.2).
#include <imsls.h>
#include <stdio.h>
int main()
{
float x = 0.5;
float y = 0.2;
float ans;
ans = imsls_f_beta(x, y);
printf("beta(%f,%f) = %f\n", x, y, ans);
return 0;
}
Output
beta(0.500000,0.200000) = 6.268653
Figure 40, Plot of β (x, b)
The beta function requires that a > 0 and b > 0. It underflows for large arguments.
Alert Errors
IMSLS_BETA_UNDERFLOW | The arguments must not be so large that the result underflows. |
Fatal Errors
IMSLS_ZERO_ARG_OVERFLOW | One of the arguments is so close to zero that the result overflows. |
