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