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NEW THEOREM ON SYMMETRIC FUNCTIONS AND THEIR APPLICATIONS ON SOME (p, q)-NUMBERS

  • SABA, N. (LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University) ;
  • BOUSSAYOUD, A. (LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University)
  • Received : 2021.03.23
  • Accepted : 2021.07.23
  • Published : 2022.01.30

Abstract

In this paper, we present and prove an new theorem on symmetric functions. By using this theorem, we derive some new generating functions of the products of (p, q)-Fibonacci numbers, (p, q)-Lucas numbers, (p, q)-Pell numbers, (p, q)-Pell Lucas numbers, (p, q)-Jacobsthal numbers and (p, q)-Jacobsthal Lucas numbers with Chebyshev polynomials of the first kind.

Keywords

Acknowledgement

Authors are grateful to the Editor-In-Chief of the Journal and the anonymous reviewers for their constructive comments which improved the quality and the presentation of the paper.

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