On some properties on bivariate Fibonacci and Lucas polynomials

Details On some properties on bivariate Fibonacci and Lucas polynomials On some properties on bivariate Fibonacci and Lucas polynomials

2007-10-08

arxiv.org/abs/0710.1451v1

Mathematics

Number Theory

9 pages

Scientific paper

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.

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