Specializations of generalized Laguerre polynomials

1993/07/09 by Simion, Rodica, Stanton, Dennis W.
#Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/9307219

Abstract

Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as q-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonian statistics on permutations.

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