kelvinBer0Derivative¶

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

Synopsis¶

kelvinBer0Derivative (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, ber, of order zero evaluated at x.

Description¶

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

\[\frac{d}{dx} \mathrm{ber}_0(x)\]

The function kelvinBer0Derivative is based on the work of Burgoyne (1963).

If \(|x|>119\), NaN is returned.

Example¶

In this example, \(\text{ber}'_0(0.6)\) is evaluated.

from __future__ import print_function
from numpy import *
from pyimsl.math.kelvinBer0Derivative import kelvinBer0Derivative

x = 0.6
ans = kelvinBer0Derivative(x)
print("ber0'(0.6) = %f" % (ans))

Output¶

ber0'(0.6) = -0.013498