On some properties on bivariate Fibonacci and Lucas polynomials
Number Theory
2007-10-09 v1
Abstract
In this paper we generalize to bivariate polynomials of Fibonacci and Lucas, properties obtained for Chebyshev polynomials. We prove that the coordinates of the bivariate polynomials over appropriate basis are families of integers satisfying remarkable recurrence relations.
Cite
@article{arxiv.0710.1451,
title = {On some properties on bivariate Fibonacci and Lucas polynomials},
author = {Hacéne Belbachir and Farid Bencherif},
journal= {arXiv preprint arXiv:0710.1451},
year = {2007}
}
Comments
9 pages