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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 1, Pages 52–68
DOI: https://doi.org/10.15393/j3.art.2021.8530 (Mi pa316) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Generating functions of the product of $2$-orthogonal Chebyshev polynomials with some numbers and the other Chebyshev polynomials

H. Merzouka, B. Alouib, A. Boussayouda

a LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
b Gabes University, Higher Institute of Industrial Systems of Gabes, Department of Electromechanics, Street Salah Eddine Elayoubi 6033 Gabes, Tunisia
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DOI: https://doi.org/10.15393/j3.art.2021.8530
Abstract: In this paper, we give the generating functions of binary product between $2$-orthogonal Chebyshev polynomials and $k$-Fibonacci, $k$-Pell, $k$-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
Keywords: $2$-Orthogonal Chebyshev polynomials, $k$-Fibonacci, $k$-Pell and $k$-Jacobsthal numbers, Generating functions, Chebyshev polynomials.
Funding agency Grant number
Directorate-General for Scientific Research and Technological Development
This work was supported by Directorate General for Scientific Research and Technological Development (DGRSDT), Algeria.
Received: 13.05.2020
Revised: 10.11.2020
Accepted: 16.11.2020
Bibliographic databases:
Document Type: Article
UDC: 517.58, 517.52, 512.62
MSC: 33C45, 42C05
Language: English
Citation: H. Merzouk, B. Aloui, A. Boussayoud, “Generating functions of the product of $2$-orthogonal Chebyshev polynomials with some numbers and the other Chebyshev polynomials”, Probl. Anal. Issues Anal., 10(28):1 (2021), 52–68
Citation in format AMSBIB
\Bibitem{MerAloBou21}
\by H.~Merzouk, B.~Aloui, A.~Boussayoud
\paper Generating functions of the product of $2$-orthogonal Chebyshev polynomials with some numbers and the other Chebyshev polynomials
\jour Probl. Anal. Issues Anal.
\yr 2021
\vol 10(28)
\issue 1
\pages 52--68
\mathnet{http://mi.mathnet.ru/pa316}
\crossref{https://doi.org/10.15393/j3.art.2021.8530}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000621661400004}
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  • https://www.mathnet.ru/eng/pa/v28/i1/p52
    • This publication is cited in the following 3 articles:
    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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