# Bessel polynomial

From specialfunctionswiki

The Bessel polynomials are orthogonal polynomials defined by $$y_n(x) = \displaystyle\sum_{k=0}^n \dfrac{(n+k)!}{(n-k)!k!} \left( \dfrac{x}{2} \right)^k.$$

# Properties

Bessel polynomial generalized hypergeometric

Bessel polynomial in terms of Bessel functions

Bessel at n+1/2 in terms of Bessel polynomial

Bessel at -n-1/2 in terms of Bessel polynomial

**Orthogonal polynomials**