Moments of Askey-Wilson polynomials
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askey-wilsongivenmomentspolynomialsanalyticanothercombinatorialconjectured
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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.
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