The Combinatorics of Al-Salam-Chihara $q$-Laguerre polynomials

Details The Combinatorics of Al-Salam-Chihara $q$-Laguerre polynomials The Combinatorics of Al-Salam-Chihara $q$-Laguerre polynomials

2008-10-17

arxiv.org/abs/0810.3232v2

Mathematics

Combinatorics

23 pages, to appear in Adv. in Appl. Math.

Scientific paper

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. It is remarkable that the corresponding moment sequence appears also in the recent work of Postnikov and Williams on enumeration of totally positive Grassmann cells.

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