Generating functions of binary products of (p,q)-modified Pell numbers with Gaussian numbers and polynomials

  • 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

Abstract

In this paper, we first derive some new generating functions of the products of (p,q)-modified Pell numbers with Gaussian Fibonacci numbers, Gaussian Lucas numbers, Gaussian Pell numbers, Gaussian Pell Lucas numbers, Gaussian Jacobsthal numbers and Gaussian Jacobsthal Lucas numbers. After that, we give the new generating functions for the products of (p,q)-modified Pell numbers with Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials, Gaussian Pell and Gaussian Pell Lucas polynomials.

 

Published
2021-11-23