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Combinatorial orthogonal expansions
Authors:A. de Mé  dicis   D. Stanton
Affiliation:School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455 ; School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Abstract:The linearization coefficients for a set of orthogonal polynomials are given explicitly as a weighted sum of combinatorial objects. Positivity theorems of Askey and Szwarc are corollaries of these expansions.

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