Yahia Djemmada Mathematics · NHSM

Research

  • Combinatorics
  • Discrete Mathematics
  • Operations Research

8 journal articles2 acceptedpublishing since 2019

I work in enumerative and analytic combinatorics. Most of my papers study special sequences and polynomials (Stirling, Bell, Fubini and geometric polynomials), set partitions and permutations, and the generating functions behind them. Where I can, I prove identities with combinatorial arguments.

The list below is kept up to date by hand. For citation counts, see my Google Scholar profile.

2026

  1. The Fibonacci-Fubini and Lucas-Fubini numbers

    Yahia Djemmada, Abdelghani Mehdaoui, László Németh, László Szalay

    The Fibonacci Quarterly (2026)

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

    arXiv
    Cite 
    @article{djemmada2024fibonacci,
  title={The Fibonacci-Fubini and Lucas-Fubini numbers},
  author={Djemmada, Yahia and Mehdaoui, Abdelghani and N{\'e}meth, L{\'a}szl{\'o} and Szalay, L{\'a}szl{\'o}},
  journal={The Fibonacci Quarterly},
  year={2026}
}

  2. On Meštrović’s generalization of the Chu–Vandermonde identity

    Hacène Belbachir, Yahia Djemmada

    Accepted Filomat (2026)

    Cite 
    @article{belbachir2026mestrovic,
  title={On Me{\v{s}}trovi{\'c}'s generalization of the {Chu--Vandermonde} identity},
  author={Belbachir, Hac{\`e}ne and Djemmada, Yahia},
  journal={Filomat},
  note={Accepted},
  year={2026}
}

2025

  1. Partial Deranged Bell Numbers and Their Combinatorial Properties

    Yahia Djemmada, Levent Kargın, Mümün Can

    Accepted Mediterranean Journal of Mathematics (2025)

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

    arXiv
    Cite 
    @article{djemmada2025partial,
  title={Partial Deranged Bell Numbers and Their Combinatorial Properties},
  author={Djemmada, Yahia and Karg{\i}n, Levent and Can, M{\"u}m{\"u}n},
  journal={Mediterranean Journal of Mathematics},
  note={Accepted},
  year={2025}
}

2024

  1. An identity for two sequences and its combinatorial interpretation

    Yahia Djemmada, Abdelghani Mehdaoui, László Németh, László Szalay

    Annales Mathematicae et Informaticae, vol. 60, pp. 37–43 (2024)

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

    Cite 
    @article{djemmada2024identity,
  title={An identity for two sequences and its combinatorial interpretation},
  author={Djemmada, Yahia and Mehdaoui, Abdelghani and N{\'e}meth, L{\'a}szl{\'o} and Szalay, L{\'a}szl{\'o}},
  journal={Annales Mathematicae et Informaticae},
  year={2024}
}

2023

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

    Hacène Belbachir, Yahia Djemmada

    Filomat, vol. 37(8), pp. 2587–2598 (2023)

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

    Cite 
    @article{belbachir2023stirling,
  title={The (l, r)-Stirling numbers: a combinatorial approach},
  author={Belbachir, Hac{\`e}ne and Djemmada, Yahia},
  journal={Filomat},
  year={2023}
}

  2. The deranged Bell numbers

    Hacène Belbachir, Yahia Djemmada, László Németh

    Mathematica Slovaca, vol. 73(4), pp. 849–860 (2023)

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

    Cite 
    @article{belbachir2023deranged,
  title={The deranged Bell numbers},
  author={Belbachir, Hac{\`e}ne and Djemmada, Yahia and N{\'e}meth, L{\'a}szl{\'o}},
  journal={Mathematica Slovaca},
  year={2023}
}

2022

  1. Unified Bernoulli-Euler polynomials of Apostol type

    Hacène Belbachir, Yahia Djemmada, Slimane Hadj-Brahim

    Indian Journal of Pure and Applied Mathematics, pp. 1–8 (2022)

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

    Cite 
    @article{belbachir2022unified,
  title={Unified Bernoulli-Euler polynomials of Apostol type},
  author={Belbachir, Hac{\`e}ne and Djemmada, Yahia and Hadj-Brahim, Slimane},
  journal={Indian Journal of Pure and Applied Mathematics},
  year={2022}
}

2021

  1. On central Fubini-like numbers and polynomials

    Hacène Belbachir, Yahia Djemmada

    Miskolc Mathematical Notes, vol. 22(1), pp. 77–90 (2021)

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

    Cite 
    @article{belbachir2021fubini,
  title={On central Fubini-like numbers and polynomials},
  author={Belbachir, Hac{\`e}ne and Djemmada, Yahia},
  journal={Miskolc Mathematical Notes},
  year={2021}
}

2020

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

    Hacène Belbachir, Yahia Djemmada

    Indian Journal of Pure and Applied Mathematics, vol. 51(4), pp. 1713–1727 (2020)

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

    Cite 
    @article{belbachir2020geometric,
  title={Generalized geometric polynomials via Steffensen's generalized factorials and Tanny's operators},
  author={Belbachir, Hac{\`e}ne and Djemmada, Yahia},
  journal={Indian Journal of Pure and Applied Mathematics},
  year={2020}
}

2019

  1. Congruence for geometric polynomials

    Hacène Belbachir, Yahia Djemmada

    Les Annales RECITS, vol. 6, pp. 37–44 (2019)

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

    Cite 
    @article{belbachir2019congruence,
  title={Congruence for geometric polynomials},
  author={Belbachir, Hac{\`e}ne and Djemmada, Yahia},
  journal={Les Annales RECITS},
  year={2019}
}