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arxiv: 1403.0053 · v1 · pith:ILSDV2QOnew · submitted 2014-03-01 · 🧮 math.CA · math.CO

Bootstrapping and Askey-Wilson polynomials

classification 🧮 math.CA math.CO
keywords askey-wilsonbootstrappinggeneratingpolynomialscasecoefficientscombinatoricsconnection
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The mixed moments for the Askey-Wilson polynomials are found using a bootstrapping method and connection coefficients. A similar bootstrapping idea on generating functions gives a new Askey-Wilson generating function. An important special case of this hierarchy is a polynomial which satisfies a four term recurrence, and its combinatorics is studied.

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