Jang Soo Kim, Dennis Stanton
Published 2012-07-14, updated 2013-02-08Version 2
New formulas for the nth moment of the Askey-Wilson polynomials are given. These are derived using analytic techniques, and by considering three combinatorial models for the moments: Motzkin paths, matchings, and staircase tableaux. A related positivity theorem is given and another one is conjectured.
Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole
Combinatorial bijections from hatted avoiding permutations in $S_n(132)$ to generalized Dyck and Motzkin paths
A generalization of the Mehta-Wang determinant and Askey-Wilson polynomials
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