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Properties of the Zeros of the Polynomials Belonging to the Askey Scheme

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Abstract

In this paper, we provide properties—which are, to the best of our knowledge, new—of the zeros of the polynomials belonging to the Askey scheme. These findings include Diophantine relations satisfied by these zeros when the parameters characterizing these polynomials are appropriately restricted.

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Authors and Affiliations

  1. Department of Mathematics, Concordia College, Moorhead, MN, USA

    Oksana Bihun

  2. Physics Department, University of Rome “La Sapienza”, Rome, Italy

    Francesco Calogero

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Rome, Italy

    Francesco Calogero

Authors
  1. Oksana Bihun
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  2. Francesco Calogero
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Correspondence to Oksana Bihun.

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Bihun, O., Calogero, F. Properties of the Zeros of the Polynomials Belonging to the Askey Scheme. Lett Math Phys 104, 1571–1588 (2014). https://doi.org/10.1007/s11005-014-0728-8

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  • DOI: https://doi.org/10.1007/s11005-014-0728-8

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