Some formulae for bivariate Fibonacci and Lucas polynomials

Abstract

We derive a collection of identities for bivariate Fibonacci and Lucas polynomials using essentially a matrix approach as well as properties of such polynomials when the variables $x$ and $y$ are replaced by polynomials. A wealth of combinatorial identities can be obtained for selected values of the variables.

Cited by in corpus (1)

• Identities for Fibonacci and Lucas polynomials derived from a book of Gould