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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 1, Pages 81–101
DOI: https://doi.org/10.15393/j3.art.2022.10330 (Mi pa344) 		 
This article is cited in 2 scientific papers (total in 2 papers)

q-Chebyshev polynomials and their q-classical characters

M. Mejri

University Tunis El Manar, Preparatory Institute for Engineering Studies, Campus universitaire El Manar-B.P 244, El Manar II, Tunis 2092, Tunisia
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DOI: https://doi.org/10.15393/j3.art.2022.10330
Abstract: In this work, we give some properties of the q-Chebyshev polynomials through the Stieltjes function associated with their regular forms (linear functional). Some connection formulas are highlighted. The integral representation of those forms are given.
Keywords: q-difference equation, Hq-semiclassical polynomials, orthogonality measure.
Received: 22.05.2021
Revised: 12.10.2021
Accepted: 15.10.2021
Bibliographic databases:
Document Type: Article
UDC: 517.58, 517.518
MSC: Primary 33C45; Secondary 42C05
Language: English
Citation: M. Mejri, “q-Chebyshev polynomials and their q-classical characters”, Probl. Anal. Issues Anal., 11(29):1 (2022), 81–101
Citation in format AMSBIB
\Bibitem{Mej22}
\by M.~Mejri
\paper $q$-Chebyshev polynomials and their $q$-classical characters
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 1
\pages 81--101
\mathnet{http://mi.mathnet.ru/pa344}
\crossref{https://doi.org/10.15393/j3.art.2022.10330}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4506116}
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  • https://www.mathnet.ru/eng/pa344
  • https://www.mathnet.ru/eng/pa/v29/i1/p81
    • This publication is cited in the following 2 articles:
    1. Sobhi Jbeli, “Description of the symmetric Hq-Laguerre–Hahn orthogonal q-polynomials of class one”, Period Math Hung, 2024  crossref
    2. S. Jbeli, “A new characterization of q-Chebyshev polynomials of the second kind”, Probl. anal. Issues Anal., 13(31):2 (2024), 49–62  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
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