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Multilinear generating functions for Charlier polynomials
Journal article   Peer reviewed

Multilinear generating functions for Charlier polynomials

Ira M Gessel and Pallavi Jayawant
Journal of statistical planning and inference, Vol.140(8), pp.2230-2236
2010
DOI: https://doi.org/10.1016/j.jspi.2010.01.019

Abstract

Charlier polynomials Derangements Multilinear generating functions Orthogonal polynomials Permutations
Charlier configurations provide a combinatorial model for Charlier polynomials. We use this model to give a combinatorial proof of a multilinear generating function for Charlier polynomials. As special cases of the multilinear generating function, we obtain the bilinear generating function for Charlier polynomials and formulas for derangements.

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