Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the generating functions of the products of bivariate co...

Full description

Bibliographic Details
Published in:Discussiones Mathematicae - General Algebra and Applications
Main Authors: Boughaba Souhila, Boussayoud Ali, Saba Nabiha
Format: Article
Language:English
Published: University of Zielona Góra 2020-12-01
Subjects:
symmetric functions
generating functions
bivariate complex fibonacci polynomials
bivariate complex lucas polynomials
primary 05e05
secondary 11b39
Online Access:https://doi.org/10.7151/dmgaa.1335
Description
Summary:In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Fibonacci, Gaussian Lucas and Gaussian Jacobsthal numbers, Gaussian Pell numbers, Gaussian Pell Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Jacobsthal, Gaussian Jacobsthal Lucas polynomials and Gaussian Pell polynomials.
ISSN:2084-0373

Similar Items