380 research outputs found
Moments of Askey-Wilson polynomials
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.Comment: 23 page
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