Source: wikibot/bessel-polynomials
= Bessel polynomials
{wiki=Bessel_polynomials}
Bessel polynomials are a series of orthogonal polynomials that are related to Bessel functions, which are solutions to Bessel's differential equation. The Bessel polynomials, denoted usually by \\( P_n(x) \\), are defined using the formula: \\\[ P_n(x) = \\sum_\{k=0\}^\{n\} \\binom\{n\}\{k\} \\frac\{(-1)^k\}\{k!\} (x/2)^k.