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Anne de Médicis

Publications and source records attributed to Anne de Médicis.

2 recordsLinked to original sources

Combinatorial orthogonal expansions

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.

math.CA↗

The combinatorics of q-Charlier polynomials

We describe various aspects of the Al-Salam-Carlitz $q$-Charlier polynomials. These include combinatorial descriptions of the moments, the orthogonality relation, and the linearization coefficients.

math.CA↗