Bessel Polynomial (Not in Base Package)

Calculates the Bessel Polynomial of order n for any real number x. Details

x is any real number.
n is the nonnegative order (integer) of the Bessel function.
Bessel polynomial (n,x) is the result of the calculation of the order n Bessel polynomial at the given value of x.

Bessel Polynomial Details

The Bessel polynomial of order n is defined by a recurrence relation

for

n = 2, 3

where

and

.

The following diagram shows the first four Bessel polynomials from bottom to top on the right side. The range of x is from [–6, 6].