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On generating functions of the products of symmetric functions in several variables withsome numbers and polynomials

Authors

  • Fahima Bouzekria MELILAB Laboratory, Abd el HaÖdh Boussof University center of Mila, Algeria
  • Ali BOUSSAYOUD LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Khadidja Boubellouta LMAM Laboratory and Department of Basic Education, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Fatma Yakoubi LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

Abstract

In this paper, we derive new generating functions for the products of Gaussian (p; q)Fibonacci numbers, Gaussian (p; q)Lucas numbers, Gaussian (p; q)Pell numbers, Gaussian (p; q)Pell-Lucas numbers, Gaussian (p; q)Jacobsthal and Gaussian (p; q)Jacobsthal-Lucas numbers with symmetric functions in several variables. Moreover, we give some new generating functions for the products of bivariate polynomials with symmetric functions in several variales

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Published

2026-02-28

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Issue

Vol. 33 No. 1 (2026): Nonlinear Studies

Section

Articles

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Copyright (c) 2026 Fahima Bouzekria, Ali BOUSSAYOUD, Khadidja Boubellouta, Fatma Yakoubi

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

On generating functions of the products of symmetric functions in several variables withsome numbers and polynomials. (2026). Nonlinear Studies, 33(1), 281-297. https://nonlinearstudies.com/index.php/nonlinear/article/view/4061