Moments of Askey-Wilson polynomials

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:125

Article

Kim, Jang Soo¹  Stanton, Dennis² 

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

关键词: Moments of orthogonal polynomials;    Askey-Wilson polynomials;    Motzkin paths;    Matchings;    Staircase tableaux;   

DOI  :  10.1016/j.jcta.2014.02.008

来源: Elsevier

【 摘 要 】

New formulas for the nth moment mu(n)(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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free