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Symmetric Semi-classical Orthogonal Polynomials of Class One on q-Quadratic Lattices

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Formal and Analytic Solutions of Diff. Equations (FASdiff 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 256))

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Abstract

In this paper we study discrete semi-classical orthogonal polynomials on non-uniform lattices. In the symmetric class one case we give a closed form expression for the recurrence coefficients of orthogonal polynomials.

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Acknowledgements

The authors are very grateful to the anonymous referee for her/his valuable comments.

GF acknowledges the support of the National Science Center (Poland) via grant OPUS 2017/25/B/BST1/00931. Support of the Alexander von Humboldt Foundation is also greatfully acknowledged.

The work of MNR was partially supported by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MCTES and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020.

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Authors and Affiliations

  1. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland

    Galina Filipuk

  2. Departamento de Matemática, Universidade da Beira Interior, 6201-001, Covilhã, Portugal

    Maria das Neves Rebocho

  3. Department of Mathematics, CMUC, University of Coimbra, 3001-501, Coimbra, Portugal

    Maria das Neves Rebocho

Authors
  1. Galina Filipuk
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  2. Maria das Neves Rebocho
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Corresponding author

Correspondence to Maria das Neves Rebocho .

Editor information

Editors and Affiliations

  1. Institute of Mathematics, University of Warsaw, Warsaw, Poland

    Galina Filipuk

  2. Departamento de Física y Matemáticas, University of Alcalá, Alcalá de Henares, Spain

    Alberto Lastra

  3. Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszynski University, Warsaw, Poland

    Sławomir Michalik

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Filipuk, G., Rebocho, M.d.N. (2018). Symmetric Semi-classical Orthogonal Polynomials of Class One on q-Quadratic Lattices. In: Filipuk, G., Lastra, A., Michalik, S. (eds) Formal and Analytic Solutions of Diff. Equations . FASdiff 2017. Springer Proceedings in Mathematics & Statistics, vol 256. Springer, Cham. https://doi.org/10.1007/978-3-319-99148-1_15

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