7 papers
On Deranged Unit-Interval Parking Functions and the Deranged Bell Numbers
Yahia Djemmada
Unit-interval parking functions are counted by the Fubini numbers and are in explicit bijection with ordered set partitions. We transport the deranged ordered set partitions of Bel…
Partial Deranged Bell Numbers and Their Combinatorial Properties
Yahia Djemmada, Levent Kargın, Mümün Can
We introduce a novel generalization of deranged Bell numbers by defining the partial deranged Bell numbers , which count the number of set partitions of …
The Fibonacci-Fubini and Lucas-Fubini numbers
Yahia Djemmada, Abdelghani Mehdaoui, László Németh +1
Based on the combinatorial interpretation of the ordered Bell numbers, which count all the ordered partitions of the set , we introduce the Fibonacci partition…
The deranged Bell numbers
Hacéne Belbachir, Yahia Djemmada, László Németh
It is known that the ordered Bell numbers count all the ordered partitions of the set . In this paper, we introduce the deranged Bell numbers that count the to…
Unified Bernoulli-Euler polynomials of Apostol type
Hacène Belbachir, Yahia Djemmada, Slimane Hadj-Brahim
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;λ;μ)\right\}_{n \geq 0}…
The -Stirling numbers: a combinatorial approach
Hacène Belbachir, Yahia Djemmada
This work deals with a new generalization of -Stirling numbers using -tuple of permutations and partitions called -Stirling numbers of both kinds. We study various pro…
On central Fubini-like numbers and polynomials
Hacène Belbachir, Yahia Djemmada
We introduce the central Fubini-like numbers and polynomials using Rota approach. Several identities and properties are established as generating functions, recurrences, explicit f…