4 citations · 8 across the 7 of their papers we have counts for
12 papers
The Hankel determinants for the generalized derangement polynomials of order r
Ghania Guettai, Diffalah Laissaoui, Mourad Rahmani
This paper sets out to introduce the generalized derangement polynomials of order . It then proceeds to establish various identities associated with these polynomials, along wi…
Recurrences for values of the Hurwitz type poly-Bernoulli numbers and polynomials
Mohamed Amine Boutiche, Mohamed Mechacha, Mourad Rahmani
The main object of this paper is to investigate a new class of the generalized Hurwitz type poly-Bernoulli numbers and polynomials from which we derive some algorithms for evaluati…
On Certain Recurrence Relations for Generalized Poly-Cauchy Numbers and Polynomials
Ghania Guettai, Diffalah Laissaoui, Mohamed Amine Boutiche +1
The main objective of this paper is to present recurrence relations for the generalized poly-Cauchy numbers and polynomials. This is accomplished by introducing the concept of gene…
Generalized Fubini transform with two variables
Madjid Sebaoui, Diffalah Laissaoui, Ghania Guettai +1
In the present paper, we define the generalized Kwang-Wu Chen matrix. Basic properties of this generalization, such as explicit formulas and generating functions are presented. Mor…
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…
A closed formula for the generating function of p-Bernoulli numbers
Levent Kargın, Mourad Rahmani
In this paper, using geometric polynomials, we obtain a generating function of p-Bernoulli numbers. As a consequences this generating function, we derive closed formulas for the fi…
The partial r-Bell polynomials
Miloud Mihoubi, mourad Rahmani
In this paper, we show that the r-Stirling numbers of both kinds, the r-Whitney numbers of both kinds, the r-Lah numbers and the r-Whitney-Lah numbers form particular cases of fami…
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…