Source: wikibot/charlier-polynomials
= Charlier polynomials
{wiki=Charlier_polynomials}
Charlier polynomials are a sequence of orthogonal polynomials that arise in probability and analysis. They are a specific case of hypergeometric polynomials and can be defined in the context of the Poisson distribution. The Charlier polynomials \\( C_n(x; a) \\) are defined as follows: \\\[ C_n(x; a) = \\sum_\{k=0\}^\{n\} \\frac\{(-1)^\{n-k\}\}\{(n-k)!