The combinatorics of Al-Salam-Chihara q-Laguerre polynomials

Anisse Kasraoui (1) , Dennis Stanton (2) , Jiang Zeng (1)

1 ICJ - Institut Camille Jordan
2 School of mathematics

We describe various aspects of the Al-Salam-Chihara q-Laguerre polynomials. These include combinatorial descriptions of the polynomials, the moments, the orthogonality relation and a combinatorial interpretation of the linearization coefficients.

Mots clés: q-Laguerre polynomials; Al-Salam-Chihara polynomials; y-version of q-Stirling numbers of the second kind; linearization coefficients.; linearization coefficients

Domaines: Combinatoire [math.CO]

Anisse Kasraoui, Dennis Stanton, Jiang Zeng. The combinatorics of Al-Salam-Chihara q-Laguerre polynomials. 2008. ⟨hal-00332856⟩