kelvinBei0Derivative¶

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

Synopsis¶

kelvinBei0Derivative (x)

Required Arguments¶

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

Return Value¶

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

Description¶

The function $\text{bei}'_0(x)$ is defined to be

$\frac{d}{dx} \mathrm{bei}_0(x)$

The function kelvinBei0Derivative is based on the work of Burgoyne (1963). If $|x|>119$ , NaN is returned.

Example¶

In this example, $bei'_0(0.6)$ is evaluated.

from __future__ import print_function
from numpy import *
from pyimsl.math.kelvinBei0Derivative import kelvinBei0Derivative

x = 0.6
ans = kelvinBei0Derivative(x)
print("bei0'(0.6) = %f" % (ans))

Output¶

bei0'(0.6) = 0.299798