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On some perturbed q-Laguerre–Hahn orthogonal q-polynomials

Periodica Mathematica Hungarica (2022)Cite this article

Abstract

Our goal is to study the multiplication by a polynomial of a \(H_q\)-Laguerre–Hahn form and its inverse one where \(H_q\) be the q-derivative operator. The class of the obtained form is discussed in detail in the two cases. Some examples in connection with the \(H_{q}\)-semiclassical forms are highlighted.

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Acknowledgements

We would like to thank the referee for valuable review, helpful suggestions and bringing certain references to our attention.

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Authors and Affiliations

  1. Université de Tunis El Manar, Faculté des Sciences de Tunis, Campus Universitaire El Manar, 2092, LR13ES06, Tunis, Tunisia

    S. Jbeli

  2. Université de Tunis El Manar, Institut Préparatoire aux Etudes d’Ingénieur El Manar, Campus Universitaire El Manar 2092, LR13ES06, Tunis, Tunisia

    L. Khériji

Authors
  1. S. Jbeli
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  2. L. Khériji
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Correspondence to L. Khériji.

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Jbeli, S., Khériji, L. On some perturbed q-Laguerre–Hahn orthogonal q-polynomials. Period Math Hung (2022). https://doi.org/10.1007/s10998-022-00463-9

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  • DOI: https://doi.org/10.1007/s10998-022-00463-9

Keywords

  • Orthogonal q-polynomials
  • q-derivative operator
  • q-Laguerre–Hahn character
  • Regular form
  • Standard perturbations

Mathematics Subject Classification

  • Primary 33C45
  • Secondary 42C05