Generalized bivariate Fibonacci polynomials

Abstract

We define generalized bivariate polynomials, from which upon specification of initial conditions the bivariate Fibonacci and Lucas polynomials are obtained. Using essentially a matrix approach we derive identities and inequalities that in most cases generalize known results.

Added a new paragraph and corrected minor misprints

Cited by in corpus (2)

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