Multilinear generating functions for Charlier polynomials

نویسندگان
چکیده

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Multilinear generating functions for Charlier polynomials

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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ژورنال

عنوان ژورنال: Journal of Statistical Planning and Inference

سال: 2010

ISSN: 0378-3758

DOI: 10.1016/j.jspi.2010.01.019