10 citations · 15 across the 4 of their papers we have counts for
4 papers
Identity for generalized Bernoulli polynomials
Redha Chellal, Farid Bencherif, Mohamed Mehbali
In this paper, we establish an identity for Bernoulli's generalized polynomials. We deduce generalizations for many relations involving classical Bernoulli numbers or polynomials.…
Three pearls of Bernoulli numbers
Abdelmoumène Zekiri, Farid Bencherif
The Bernoulli numbers are fascinating and ubiquitous numbers, they occur in several domains of Mathematics like Number theory (FLT), Group theory, Calculus and even in Physics. Sin…
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…
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…