Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Rahmani, Mourad"'
This paper sets out to introduce the generalized derangement polynomials of order $r $. It then proceeds to establish various identities associated with these polynomials, along with providing recurrence relations for derangement polynomials of order
Externí odkaz:
http://arxiv.org/abs/2402.16160
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 evaluating the Hurwitz type poly-Bernoulli numbers and polynomials. By introdu
Externí odkaz:
http://arxiv.org/abs/2310.02762
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 generalized m-poly-Cauchy numbers and polynomials. Additionally, the paper
Externí odkaz:
http://arxiv.org/abs/2310.02755
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. Moreover, we focus on a new class of generalized Fubini polynomials. Then
Externí odkaz:
http://arxiv.org/abs/2202.11166
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 give various properties of these numbers and polynomials (generating func
Externí odkaz:
http://arxiv.org/abs/1812.04136
Autor:
Kargın, Levent, Rahmani, Mourad
In this note, we give an alternative proof of the generating function of $p$-Bernoulli numbers. Our argument is based on the Euler's integral representation.
Externí odkaz:
http://arxiv.org/abs/1807.02832
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 and generalized Bernoulli polynomials.
Externí odkaz:
http://arxiv.org/abs/1712.07208
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 derivatives of arctan(x). Successively, we give generating functions,
Externí odkaz:
http://arxiv.org/abs/1712.03521
Autor:
Kargın, Levent, Rahmani, Mourad
Publikováno v:
Quaestiones Mathematicae 41 (7), 2018, 975-983
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 finite summation of Bernoulli and harmonic numbers involving Stirling nu
Externí odkaz:
http://arxiv.org/abs/1702.06420
Autor:
Mihoubi, Miloud, Rahmani, mourad
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 family of polynomials forming a generalization of the partial Bell polynom
Externí odkaz:
http://arxiv.org/abs/1308.0863