Combinatorial orthogonal expansions
Classical Analysis and ODEs
2008-02-03 v1 Combinatorics
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.
Cite
@article{arxiv.math/9406226,
title = {Combinatorial orthogonal expansions},
author = {Anne de Médicis and Dennis W. Stanton},
journal= {arXiv preprint arXiv:math/9406226},
year = {2008}
}