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Abstract: Charlier configurations provide a combinatorial model for Charlierpolynomials. We use this model to give a combinatorial proof of a multilineargenerating function for Charlier polynomials. As special cases of themultilinear generating function, we obtain the bilinear generating function forCharlier polynomials and formulas for derangements.



Author: Ira M. Gessel, Pallavi Jayawant

Source: https://arxiv.org/







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