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math.NT2025
Some Congruences Involving Fourth Powers of Generalized Central Trinomial Coefficients
Yassine Otmani, Hacene Belbachir
Let be a prime and let . Denote by the generalized central trinomial coefficient, i.e., the coefficient of in $ (x^2 + bx +…
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…