Generating functions of binary products of bivariate complex Fibonacci  polynomials and orthogonal polynomials

Souhila Boughaba; Ali Boussayoud; Nabiha Saba

Souhila Boughaba LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
Ali Boussayoud LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
Nabiha Saba LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

Abstract

In this paper, we give some new generating functions related to the products of bivariate complex Fibonacci polynomials with k-Fibonacci, k-Lucas numbers and Fibonacci polynomials, chebyshev polynomials.