Concept

Charlier polynomials

In mathematics, Charlier polynomials (also called Poisson–Charlier polynomials) are a family of orthogonal polynomials introduced by Carl Charlier. They are given in terms of the generalized hypergeometric function by where are generalized Laguerre polynomials. They satisfy the orthogonality relation They form a Sheffer sequence related to the Poisson process, similar to how Hermite polynomials relate to the Brownian motion.

Official source

https://en.wikipedia.org/wiki/Charlier_polynomials

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