8 citations · 26 across the 41 of their papers we have counts for
42 papers
On refinements of two-term Machin-like formulas
Bakir Farhi
We develop a refinement process for two-term Machin-like formulas: (where , $u_0 , u_1 \in \mathbb{Q}_+^…
A polynomial approach to Carlitz's -Bernoulli numbers
Mohamed Mouzaia, Bakir Farhi
This paper investigates -analogues of the classical Bernoulli polynomials and numbers. We introduce a new polynomial sequence ,…
Expansion of a bivariate symmetric mean in the neighborhood of the first bisector
Bakir Farhi
In this paper, we investigate the behavior of a bivariate mean near the first bisector by establishing, in several significant cases, an important expansion of derived from…
-analogues of sums of consecutive powers of natural numbers and extended Carlitz -Bernoulli numbers and polynomials
Bakir Farhi
In this paper, we investigate a specific class of -polynomial sequences that serve as a -analogue of the classical Appell sequences. This framework offers an elegant approach…
New formulas involving Bernoulli and Stirling numbers of both kinds
Bakir Farhi
This paper is devoted to establishing several new formulas relating Bernoulli and Stirling numbers of both kinds.
Some applications of the Lagrange inversion formula for the -Fibonacci numbers
Bakir Farhi
The aim of this paper consists of providing summation formulas for the -Fibonacci numbers (, ) and their asymptotic equivalents in terms of generaliz…