Complete and elementary symmetric functions in several variables and orthogonal polynomials

Authors

  • Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • University of Paris 7LITP, Place Jussieu Paris cedex 05, France
  • Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

Abstract

In this paper, we first derive some new generating functions of the products of k-Fibonacci numbers, k-Lucas numbers, k-Pell numbers, k-Jacobsthal numbers, Mersenne numbers and symmetric function in several variables . After that, we give the new generating functions for products of the other ortogonal Chebyshev polynomials with symmetric function in several variables.

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Published

2022-02-22

Issue

Vol. 29 No. 1 (2022): Nonlinear Studies (NS)

Section

Articles

How to Cite

Complete and elementary symmetric functions in several variables and orthogonal polynomials. (2022). Nonlinear Studies, 29(1). https://nonlinearstudies.com/index.php/nonlinear/article/view/2462