Besselk and Besselke Function

Modified Bessel functions Kn(x) of the second kind


RedCrab Version 8.0

Function Besselk

The function Besselk calculates the modified Bessel function Kv (x) of the second kind. The modified Bessel functions do not return an oscillating but an exponential behavior. A real or a complex number can be transferred as parameter x. A single value or a list can be passed.


Syntax

Besselk (n, x)


Function Besselke

The Besselke function differs from Besselk in that it uses the logarithmically scaled modified Bessel function for calculation A real or complex number, a single value or a list are also permitted as parameter x.


Syntax

Besselke (n, x)


Description

Single values or lists can be used as parameters n and x. The function is then calculated for each individual element of the list. The result is then a one-dimensional list, or a table if both parameters are lists.

If the real value of x is negative, the result can be a complex number.


Example

Plot of the Besselk function with ordinal numbers 0, 1 and 2