Moments of Askey-Wilson polynomials
نویسندگان
چکیده
New formulas for the n moment 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. Résumé. Nous présentons de nouvelles formules pour les n-moments μn(a, b, c, d; q) des polynômes Askey-Wilson. Ils sont calculés avec des techniques analytiques, et en considérant trois modèles combinatoires pour les moments: des chemins de Motzkin, des couplages, et des tableaux escalier. Un théorème de positivité liée est donné et un autre est conjecturé.
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 125 شماره
صفحات -
تاریخ انتشار 2014