Besseli and Besselie Function

Modified Bessel function Iv(x) of the first kind


RedCrab Version 8.0

Function Besseli

The function Besseli calculates the modified Bessel function Iv (x) of the first 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

Besseli (n, x)


Function Besselie

The Besselie function differs from Besseli 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

Besselie (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 Bessel function with the order numbers 0, 1, 3 and 4