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An Operator Calculus for the Askey-Wilson Operator

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Abstract.

We introduce a translation operator which commutes with the Askey-Wilson operator and develop the corresponding theory of polynomials of binomial type and the Sheffer classification.

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Authors and Affiliations

  1. Department of Mathematics, University of South Florida, Tampa, Florida 33620-5700, USA, e-mail: ismail@math.usf.edu, , , , , , US

    Mourad E.H. Ismail

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  1. Mourad E.H. Ismail
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Received December 9, 2000

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Ismail, M. An Operator Calculus for the Askey-Wilson Operator. Annals of Combinatorics 5, 347–362 (2001). https://doi.org/10.1007/s00026-001-8015-7

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  • DOI: https://doi.org/10.1007/s00026-001-8015-7

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