Moments of Askey-Wilson polynomials
Combinatorics
2013-02-11 v2 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1207.3446,
title = {Moments of Askey-Wilson polynomials},
author = {Jang Soo Kim and Dennis Stanton},
journal= {arXiv preprint arXiv:1207.3446},
year = {2013}
}
Comments
23 pages