Combinatorial orthogonal expansions

Details Combinatorial orthogonal expansions Combinatorial orthogonal expansions

1994-06-29

arxiv.org/abs/math/9406226v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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