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    Charlier Polynomial

    Definition

    The orthogonal polynomials defined by c_n^(μ)(x) | = | _2 F_0(-n, - x;; - μ^(-1)) | = | (-1)^n/μ^n (x - n + 1)_n _1 F_1(-n;x - n + 1;μ), where (x)_n is the Pochhammer symbol. The first few are given by c_0^(μ)(x) | = | 1 c_1^(μ)(x) | = | 1 - x/μ c_2^(μ)(x) | = | (x^2 + μ^2 - x(1 + 2μ))/μ^2.

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