Zobrazeno 1 - 10
of 196
pro vyhledávání: '"BELBACHIR, Hacène"'
Autor:
Belbachir, Hacène, Mehiri, El-Mehdi
In the Tower of Hanoi problem, there is six types of moves between the three pegs. The main purpose of the present paper is to find out the number of each of these six elementary moves in the optimal sequence of moves. We present a recursive function
Externí odkaz:
http://arxiv.org/abs/2210.08657
Autor:
Mehiri, El-Mehdi, Belbachir, Hacène
The weighted Tower of Hanoi is a new generalization of the classical Tower of Hanoi problem, where a move of a disc between two pegs $i$ and $j$ is weighted by a positive real $w_{ij}\geq 0$. This new problem generalizes the concept of finding the mi
Externí odkaz:
http://arxiv.org/abs/2208.06705
In this paper, we enumerate parallelogram polycubes according to several parameters. After establishing a relation between Multiple Zeta Function and the Dirichlet generating function of parallelogram polyominoes, we generalize it to the case of para
Externí odkaz:
http://arxiv.org/abs/2105.00971
The object of this paper is to introduce and study properties of unified Apostol-Bernoulli and Apostol-Euler polynomials noted by $\left\{\mathfrak{V_{n}}(x;\lambda;\mu)\right\}_{n \geq 0}$. We study some arithmetic properties of $\left\{\mathfrak{V_
Externí odkaz:
http://arxiv.org/abs/2102.00137
It is known that the ordered Bell numbers count all the ordered partitions of the set $[n]=\{1,2,\dots,n\}$. In this paper, we introduce the deranged Bell numbers that count the total number of deranged partitions of $[n]$. We first study the classic
Externí odkaz:
http://arxiv.org/abs/2102.00139
Autor:
Belbachir, Hacène, Djemmada, Yahia
This work deals with a new generalization of $r$-Stirling numbers using $l$-tuple of permutations and partitions called $(l,r)$-Stirling numbers of both kinds. We study various properties of these numbers using combinatorial interpretations and symme
Externí odkaz:
http://arxiv.org/abs/2101.11039
Autor:
Amrouche, Said, Belbachir, Hacène
Publikováno v:
Applicable Analysis and Discrete Mathematics, 2022 Oct 01. 16(2), 328-349.
Externí odkaz:
https://www.jstor.org/stable/27174762
Autor:
Belbachir, Hacene, Otmani, Yassine
We give a combinatorial identity related to the Franel numbers involving the sum of fourth power of binomial coefficients. Furthermore, investigating in J. Mikic's proof of the first Strehl Identity, we provide a combinatorial proof of this identity
Externí odkaz:
http://arxiv.org/abs/2012.02563
Autor:
Belbachir, Hacène, Degaichi, Nouar
The main perpose of this paper is to sudy the roots of a familly of polynomials that arise from a linear recurrences associated to Pascal's triangle and their zero attractor, using an analytical methods based on conformal mappings.
Externí odkaz:
http://arxiv.org/abs/2004.08421
Autor:
Amrouche, Said, Belbachir, Hacène
We give a generalization of the Pascal triangle called the quasi s-Pascal triangle where the sum of the elements crossing the diagonal rays produce the s-bonacci sequence. For this, consider a lattice path in the plane whose step set is {L = (1, 0),
Externí odkaz:
http://arxiv.org/abs/2001.11665