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

DOI10.15393/J3.ART.2021.8530zbMath1466.33005OpenAlexW3150084539MaRDI QIDQ4986354

Hind Merzouk, Baghdadi Aloui, Ali Boussayoud

Publication date: 27 April 2021

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa316

zbMATH Keywords

generating functionsChebyshev polynomials2-orthogonal Chebyshev polynomials\(k\)-Fibonacci\(k\)-Pell and \(k\)-Jacobsthal numbers

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

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Ordinary generating functions of binary products of third-order recurrence relations and 2-orthogonal polynomials

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