4 papers
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…