H. Merzouk, B. Aloui, A. Boussayoud, “Generating functions of the product of <nobr>$2$</nobr>-orthogonal Chebyshev polynomials with some numbers and the other Chebyshev polynomials”, Probl. Anal. Issues Anal., 2021, Volume 10(28), Issue 1,Pages <nobr>52

This article is cited in 3 papers

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

H. Merzouk^a, B. Aloui^b, A. Boussayoud^a

^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

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.

UDC: 517.58, 517.52, 512.62

MSC: 33C45, 42C05

Received: 13.05.2020
Revised: 10.11.2020
Accepted: 16.11.2020

Language: English

DOI: 10.15393/j3.art.2021.8530