id: 05919045 dt: j an: 05919045 au: Kasraoui, Anisse; Stanton, Dennis; Zeng, Jiang ti: The combinatorics of Al-Salam-Chihara $q$-Laguerre polynomials. so: Adv. Appl. Math. 47, No. 2, 216-239 (2011). py: 2011 pu: Elsevier Science (Academic Press), San Diego, CA la: EN cc: ut: $q$-Laguerre polynomials; Al-Salam-Chihara polynomials; $y$-version of $q$-Stirling numbers of the second kind; linearization coefficients ci: li: doi:10.1016/j.aam.2010.04.008 ab: Summary: 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. rv: