Some new results for the generalized bivariate Fibonacci and Lucas polynomials

Abstract

In this paper, new identities are obtained by using the generalized bivariate Fibonacci and Lucas polynomials. Firstly, several binomial summations and the closed formulas for summation of powers are investigated for these polynomials. Also, general summation formulas, different generating functions, and relations of these polynomials are presented.

Keywords

• binomial
• fibonacci polynomials
• generating function
• lucas polynomials