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Specializations of generalized Laguerre polynomials

Rodica Simion, Dennis W. Stanton

math.CAarXiv: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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