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