You can find my full list of publications on Google Scholar.

2025

Partial Deranged Bell Numbers and Their Combinatorial Properties

Djemmada, Yahia; Kargın, Levent; Can, Mümün
arXiv preprint arXiv:2507.21643

We introduce partial deranged Bell numbers and investigate their combinatorial properties, providing generating functions and recurrence relations.

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2024

An identity for two sequences and its combinatorial interpretation

Djemmada, Yahia; Mehdaoui, Abdelghani; Németh, László; Szalay, László
Annales Mathematicae et Informaticae

We establish a new identity relating two combinatorial sequences and provide a bijective proof demonstrating its combinatorial interpretation.

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2024

The Fibonacci-Fubini and Lucas-Fubini numbers

Djemmada, Yahia; Mehdaoui, Abdelghani; Németh, László; Szalay, László
arXiv preprint arXiv:2407.04409

We introduce and study Fibonacci-Fubini and Lucas-Fubini numbers, establishing their properties and connections to known sequences.

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2023

The (l, r)-Stirling numbers: a combinatorial approach

Belbachir, Hacène; Djemmada, Yahia
Filomat

We present a combinatorial approach to the (l, r)-Stirling numbers, establishing new identities and connections with classical Stirling numbers.

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2023

The deranged Bell numbers

Belbachir, Hacène; Djemmada, Yahia; Németh, László
Mathematica Slovaca

We introduce and study the deranged Bell numbers, exploring their combinatorial properties and connections to classical Bell numbers.

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2022

Unified Bernoulli-Euler polynomials of Apostol type

Belbachir, Hacène; Djemmada, Yahia; Hadj-Brahim, Slimane
Indian Journal of Pure and Applied Mathematics

We develop a unified approach to Bernoulli-Euler polynomials of Apostol type, deriving new properties and identities.

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2021

On central Fubini-like numbers and polynomials

Belbachir, Hacène; Djemmada, Yahia
Miskolc Mathematical Notes

We investigate central Fubini-like numbers and polynomials, establishing their properties and relationships with other combinatorial sequences.

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2020

Generalized geometric polynomials via Steffensen’s generalized factorials and Tanny’s operators

Belbachir, Hacène; Djemmada, Yahia
Indian Journal of Pure and Applied Mathematics

We develop a theory of generalized geometric polynomials using Steffensen's factorials and Tanny's operators, revealing new connections in combinatorics.

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2019

Congruence for geometric polynomials

Belbachir, Hacène; Djemmada, Yahia
Les Annales RECITS

We establish congruence relations for geometric polynomials and explore their number-theoretic properties.

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