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Specializations of generalized Laguerre polynomials

Rodica Simion·Dennis W. Stanton
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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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Rodica Simion, Dennis W. Stanton. 1993-07-09. Specializations of generalized Laguerre polynomials. https://arxiv.org/abs/math/9307219

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