Bootstrapping and Askey–Wilson polynomials

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Bootstrapping and Askey-wilson Polynomials

Abstract. The mixed moments for the Askey-Wilson polynomials are found using a bootstrapping method and connection coe cients. A similar bootstrapping idea on generating functions gives a new Askey-Wilson generating function. Modified generating functions of orthogonal polynomials are shown to generate polynomials satisfying recurrences of known degree greater than three. An important special c...

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2015

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2014.06.066