Specializations of generalized Laguerre polynomials

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

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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