Generating functions of binary products of (p,q)-numbers with bivariate Vieta Fibonacci and Lucas polynomials at positive and negative indices

  • Nabiha Saba Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Ali Boussayoud Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Mohamed Kerada Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

Abstract

In this paper, 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 bivariate Vieta Fibonacci and Lucas polynomials at positive and negative indices.

Published
2022-05-23
Issue
Vol 13 No 2 (2022): Mathematics in Engineering, Science and Aerospace (MESA)
Section
Articles