The Combinatorics of the Al-Salam-Chihara q-Charlier Polynomials
Séminaire lotharingien de combinatoire, Tome 54 (2006-2007)
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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.
@article{SLC_2006-2007_54_a8,
author = {Dongsu Kim and Dennis Stanton and Jiang Zeng},
title = {The {Combinatorics} of the {Al-Salam-Chihara} {q-Charlier} {Polynomials}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {54},
year = {2006-2007},
url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a8/}
}
Dongsu Kim; Dennis Stanton; Jiang Zeng. The Combinatorics of the Al-Salam-Chihara q-Charlier Polynomials. Séminaire lotharingien de combinatoire, Tome 54 (2006-2007). http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a8/