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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 polynomial.
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 following equation shows a recurrence relation that defines the Bessel polynomial Pn(x) of order n.

where P0(x) = 1 and P1(x) = 1 + x.

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


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