Specializations of generalized Laguerre polynomials
Classical Analysis and ODEs
2009-09-25 v1 Combinatorics
Abstract
Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as -analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.
Cite
@article{arxiv.math/9307219,
title = {Specializations of generalized Laguerre polynomials},
author = {Rodica Simion and Dennis W. Stanton},
journal= {arXiv preprint arXiv:math/9307219},
year = {2009}
}