The Combinatorics of Al-Salam-Chihara $q$-Laguerre polynomials
Combinatorics
2010-05-04 v2 Classical Analysis and ODEs
Abstract
We describe various aspects of the Al-Salam-Chihara -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.
Keywords
Cite
@article{arxiv.0810.3232,
title = {The Combinatorics of Al-Salam-Chihara $q$-Laguerre polynomials},
author = {Anisse Kasraoui and Dennis Stanton and Jiang Zeng},
journal= {arXiv preprint arXiv:0810.3232},
year = {2010}
}
Comments
23 pages, to appear in Adv. in Appl. Math.