kelvin_bei0

Evaluates the Kelvin function of the first kind, bei, of order zero.

Synopsis

#include <imsl.h>

float imsl_f_kelvin_bei0 (float x)

The type double function is imsl_d_kelvin_bei0.

Required Arguments

float x (Input)
Argument for which the function value is desired.

Return Value

The Kelvin function of the first kind, bei, of order zero evaluated at x.

Description

The Kelvin function bei0(x) is defined to be ℑJ0(xe3π/4). The Bessel function J0(x) is defined

 

The function imsl_f_kelvin_bei0 is based on the work of Burgoyne (1963).

In imsl_f_kelvin_bei0, x must be less than 119.

Example

In this example, bei0(0.4) is evaluated.

 

#include <imsl.h>

#include <stdio.h>

 

int main()

{

float x = 0.4;

float ans;

 

x = imsl_f_kelvin_bei0 (x);

printf ("bei0(0.4) = %f\n", x);

}

Output

 

bei0(0.4) = 0.039998