On Some Properties of Bivariate Fibonacci and Lucas Polynomials
Hacène Belbachir and Farid Bencherif
USTHB/Faculty of Mathematics
P. O. Box 32
El Alia, 16111
Bab Ezzouar
Algeria
Abstract:
In this paper we generalize to bivariate Fibonacci and Lucas
polynomials, properties obtained for Chebyshev polynomials. We prove
that the coordinates of the bivariate polynomials over appropriate
bases are families of integers satisfying remarkable recurrence
relations.
Full version: pdf,
dvi,
ps,
latex
(Concerned with sequences
A007318
A029653 and
A112468
.)
Received October 8 2007;
revised version received June 3 2008.
Published in Journal of Integer Sequences, June 27 2008.
Return to
Journal of Integer Sequences home page
