Orthogonal polynomials

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. (Wikipedia).

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Related pages

Generalized hypergeometric function | Mathematics | Brownian motion | Laguerre polynomials | Orthogonal polynomials | Wilson polynomials | Sheffer sequence | Hermite polynomials