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