Multilinear generating functions for Charlier polynomials
Combinatorics
2009-06-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0906.1553,
title = {Multilinear generating functions for Charlier polynomials},
author = {Ira M. Gessel and Pallavi Jayawant},
journal= {arXiv preprint arXiv:0906.1553},
year = {2009}
}
Comments
10 pages, 4 figures