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Problemy Analiza — Issues of Analysis, 2025, Volume 14, Issue 1, Pages 22–41
DOI: https://doi.org/10.15393/j3.art.2025.16150 (Mi pa413) 		 
A d-orthogonal polynomial set of Meixner type

W. Benamira, A. Nasri

Mohamed Seddik Ben Yahia University, Jijel, Algeria
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DOI: https://doi.org/10.15393/j3.art.2025.16150
Abstract: In this contribution, a new set of d-orthogonal polynomials of Meixner type is introduced. Some properties of these polynomials, including an explicit formula, hypergeometric representation, as well as higher-order recurrence relation, and difference equation, are analyzed.
Keywords: d-orthogonality, Meixner polynomials, generating function, recurrence relation, difference equation.
Received: 09.05.2024
Revised: 20.09.2024
Accepted: 14.08.2024
Document Type: Article
UDC: 517.521
MSC: 33C45, 33C20
Language: English
Citation: W. Benamira, A. Nasri, “A d-orthogonal polynomial set of Meixner type”, Probl. Anal. Issues Anal., 14:1 (2025), 22–41
Citation in format AMSBIB
\Bibitem{BenNas25}
\by W.~Benamira, A.~Nasri
\paper A $d$-orthogonal polynomial set of Meixner type
\jour Probl. Anal. Issues Anal.
\yr 2025
\vol 14
\issue 1
\pages 22--41
\mathnet{http://mi.mathnet.ru/pa413}
\crossref{https://doi.org/10.15393/j3.art.2025.16150}
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