3 citations · 3 across the 1 of their papers we have counts for
6 papers
On poly-Bell numbers and polynomials
Ghania Guettai, Diffalah Laissaoui, Mourad Rahmani +1
This paper aims to construct a new family of numbers and polynomials which are related to the Bell numbers and polynomials by means of the confluent hypergeometric function. We giv…
On the generating function of p-Bernoulli numbers: an alternative approach
Levent Kargın, Mourad Rahmani
In this note, we give an alternative proof of the generating function of -Bernoulli numbers. Our argument is based on the Euler's integral representation.
Several explicit formulae of sums and hyper-sums of powers of integers
Fouad Bounebirat, Diffalah Laissaoui, Mourad Rahmani
In this paper, we present several explicit formulas of the sums and hyper-sums of the powers of the first (n+1)-terms of a general arithmetic sequence in terms of Stirling numbers…
On the higher derivatives of the inverse tangent function
Mohamed Amine Boutiche, Mourad Rahmani
In this paper, we find explicit formulas for higher order derivatives of the inverse tangent function. More precisely, we study polynomials which are induced from the higher-order…
Generalized Stirling transform
Mourad Rahmani
In this paper, algorithms are developed for computing the Stirling transform and the inverse Stirling transform; specifically, we investigate a class of sequences satisfying a two-…
Some results on Whitney numbers of Dowling lattices
Mourad Rahmani
In this paper, we study some properties of Whitney numbers of Dowling lattices and related polynomials. We answer the following question: there is relation between Stirling and Eul…