| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4655375 | Journal of Combinatorial Theory, Series A | 2014 | 33 Pages |
Abstract
New formulas for the n th moment μn(a,b,c,d;q)μn(a,b,c,d;q) 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jang Soo Kim, Dennis Stanton,