Séminaire Lotharingien de Combinatoire, B54i (2006), 15 pp.

Dongsu Kim, Dennis Stanton and Jiang Zeng

The Combinatorics of the Al-Salam-Chihara q-Charlier Polynomials

Abstract. We describe various aspects of the Al-Salam-Chihara q-Charlier polynomials. These include combinatorial descriptions of the polynomials, the moments, the orthogonality relation and a combinatorial proof of Anshelevich's recent result on the linearization coefficients.

Received: April 25, 2006. Accepted: June 8, 2006.

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