Title of article
Moments of Askey–Wilson polynomials
Author/Authors
Kim، نويسنده , , Jang Soo and Stanton، نويسنده , , Dennis، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
33
From page
113
To page
145
Abstract
New formulas for the nth moment μ 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.
Keywords
Staircase tableaux , Moments of orthogonal polynomials , Askey–Wilson polynomials , Motzkin paths , Matchings
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2014
Journal title
Journal of Combinatorial Theory Series A
Record number
1532015
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