International Journal of Nonlinear Analysis and Applications

Construction a novel generating functions for the products of certain numbers and orthogonal polynomials in several variables using the symmetric functions technique

Document Type : Research Paper

Authors

1 Mathematics Faculty, Department of Algebra and Number Theory, LATN Laboratory, USTHB, BP32, Bab Ezzouar, Algiers, Algeria

2 LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

Abstract

In this paper, we introduce novel generating functions of the products of k-Fibonacci numbers, k-Lucas numbers, k-Pell numbers, k-Jacobsthal numbers, k-Mersenne numbers and symmetric functions in multiple variables. Accordingly, the novel generating functions are assigned to the other orthogonal Chebyshev polynomials with symmetric functions in multiple variables.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 10
October 2023
Pages 179-198
  • Receive Date: 05 January 2023
  • Accept Date: 05 July 2023