The generalized bivariate Fibonacci and Lucas matrix polynomials

Abstract

The main object of the present paper is to consider the matrix polynomials for the generalized bivariate Fibonacci and Lucas polynomials. Working with matrix properties for these new matrix polynomials, some identities of the generalized bivariate Fibonacci and Lucas polynomials will be researched. Finally, we build the relationships between the generalized bivariate Fibonacci and Lucas matrix polynomials