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math.NT2007★ 10 cited
On some properties on bivariate Fibonacci and Lucas polynomials
Hacéne Belbachir, Farid Bencherif
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 polynomia…
math.NT2007★ 4 cited
Sums of products of generalized Fibonacci and Lucas numbers
Hacene Belbachir, Farid Bencherif
In this paper, we establish several formulae for sums and alternating sums of products of generalized Fibonacci and Lucas numbers. In particular, we recover and extend all results…