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Pollaczek polynomials and hypergeometric representation

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Abstract

The Pfaff-Euler Transform for hypergeometric 2 F 1-series is applied to provide a direct and elementary proof that the hypergeometric representation with algebraic parameters of Pollaczek polynomials are indeed polynomials.

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Author notes

  1. Wenchang Chu

    Present address: Dipartimento di Matematica, Università degli Studi di Lecce, Lecce-Arnesano, P.O. Box 193, Lecce, 73100, Italia

Authors and Affiliations

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, P. R. China

    Wenchang Chu

Authors
  1. Wenchang Chu
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Corresponding author

Correspondence to Wenchang Chu.

Additional information

Dedicated to Richard Askey on the occasion of his 70th birthday.

2000 Mathematics Subject Classification Primary—33C45; Secondary—33C05

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Chu, W. Pollaczek polynomials and hypergeometric representation. Ramanujan J 13, 221–225 (2007). https://doi.org/10.1007/s11139-006-0248-y

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  • DOI: https://doi.org/10.1007/s11139-006-0248-y

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