Journal of Integer Sequences, Vol. 11 (2008), Article 08.2.6

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


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.

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(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.

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