Novel classes on generating functions for products of multivaraible symmetric functions with Gaussian numbers and orthogonal polynomials

Authors

  • Sana Krioui LMAM Laboratory and Department of Algebra and Number Theory, \\ University of Science and Technology "HOUARI BOUMEDIENE", Algeria
  • Ali Boussayoud LMAM Laboratory and Department of Mathematics,\\ Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Nesrine Harrouche Faculty of Exact Sciences and Computer Science,\\ Department of Mathematics,\\ Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Abdelaziz Bellagh Mathematics Faculty, Department of Algebra and Number Theory,\\ LATN Laboratory, USTHB, BP32,\\ Bab Ezzouar, Algiers, Algeria

Abstract

 In this paper, we introduce novel generating functions for the products of multivariable symmetric functions with Gaussian Fibonacci numbers, Gaussian Lucas numbers, Gaussian Pell numbers, and Gaussian Jacobsthal numbers.
Additionally, we present novel generating functions  assigned to certain orthogonal Chebyshev polynomials involving symmetric functions in multiple variables.

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Published

03/01/2025

Issue

Vol. 16 No. 1 (2025): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles