activity
20172024
most citedSeveral explicit formulae of sums and hyper-sums of powers of integers

3 citations · 3 across the 4 of their papers we have counts for

collaborators

5 papers

math.CO2024

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…

math.NT2023

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…

math.CO2022

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…

math.NT2018

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…

math.NT2017★ 3 cited

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…