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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, $H_q$-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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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