KELVIN_BEI0 Function (PV-WAVE Advantage)

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

Usage

result = KELVIN_BEI0(x)

Input Parameters

x—Argument for which the function value is desired.

Returned Value

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

Input Keywords

Double—If present and nonzero, double precision is used.

Derivative—If present and nonzero, then the derivative of the Kelvin function of the first kind, bei, of order zero evaluated at x is computed.

Discussion

The Kelvin function bie0(x) is defined to be

. The Bessel function J0(x) is defined:

In KELVIN_BEI0, x must be less than 119.

If the keyword Derivative is set, the function bei0'(x) is defined to be:

If the keyword Derivative is set and |x| > 119, NaN is returned.

The function KELVIN_BEI0 is based on the work of Burgoyne (1963).

Example

In this example, bei0(0.4) and bei0'(0.6) are evaluated.

PRINT, KELVIN_BEI0(0.4)

; PV-WAVE prints: 0.0399982

PRINT, KELVIN_BEI0(0.6, /DERIVATIVE)

; PV-WAVE prints: 0.299798

Version 2017.0