sEt partitions and permutations

Generalized Set Partitions and Permutations, Associated Polynomials, and Arithmetical Properties.

2026

Inversions in colored permutations, derangements, and involutions

with M. Ahmia and D. Villamizar. Advances in Applied Mathematics 173 (2026). (web, arXiv)
2023

Some positivities in Stirling arrays with higher level

with A. Ahmia. Mediterranean Journal of Mathematics, 20(6) (2023), 1–16. (pdf, web)
2022

On q-poly-Bernoulli numbers arising from combinatorial interpretations,

with B. Bényi.Aequationes Mathematicae, 96 (2022), 465–487. (web).

Poly-Cauchy numbers of the second kind - the combinatorics behind,

with B. Bényi.Enumerative Combinatorics and Applications, 2(1)(2022), Article #S2R1. (pdf, web).

Set partitions and partitions without singleton blocks of type B

with I. Mező.Periodica Mathematica Hungarica, 85(2022), 246-263. (web)

New modular symmetric function and its applications: modular s-Stirling numbers

with B. Abdelghafour, M. Ahmia, and D. Villamizar. Bulletin of the Malaysian Mathematical Sciences Society, 45 (2022), 1093–1109. (web)

Set partitions and non-crossing partitions with ℓ-neighbors and ℓ-isolated elements

with B. Bényi and T. Mansour. The Australasian Journal of Combinatorics. 84(2) (2022), 325–340. (pdf, web)
2021

A combinatorial approach to the Stirling numbers of the first kind with higher level

with T. Komatsu and D. Villamizar.Studia Scientiarum Mathematicarum Hungarica Combinatorics, Geometry and Topology. 58 (2021) , 293–307 (web)

On the r-derangements of type B

with I. Mező, V. Moll, and D. Villamizar.Online Journal of Analytic Combinatorics, 16 (2021), #05. (web, pdf)

A combinatorial approach to the generalized central factorial numbers

with T. Komatsu and D. Villamizar. Mediterranean Journal of Mathematics, 18(192) (2021) 1–14. (web)
2020

Generalized ordered set partitions

with B. Bényi and M. Méndez. The Australasian Journal of Combinatorics. 77(2) (2020), 157–179. (pdf, arXiv)

The r-alternating permutations

with I. MezőAequationes Mathematicae, 94 (2020), 37–57. (web)
2019

A combinatorial approach to derangement matrix of type B

with I. MezőLinear Algebra and its Applications, 582 (2019), 156-180. (web)

Extensions of set partitions and permutations,

with J. B. Caicedo*, V. Moll, and D. Villamizar. Electronic Journal of Combinatorics, 26(2) (2019), P2.20, 1–12. (web, pdf)

Some applications of S-restricted set partitions,

with B. Bényi. Periodica Mathematica Hungarica 78 (2019), 110–127. (web, pdf)

Restricted r-Stirling numbers and their combinatorial applications,

with B. Bényi, M. Méndez, and T. Wakhare*.Applied Mathematics and Computation, 348 (2019), 186–205. (web, arXiv)

Some combinatorial identities of the r-Whitney-Eulerian numbers.

with T. Mansour, M. Shattuck, and S. Villamarín*. Applicable Analysis and Discrete Mathematics, 13(2019), 378--398. pdf

A new approach to the r-Whitney numbers by using combinatorial differential calculus

with M. Méndez.Acta Universitatis Sapientiae, Mathematicas, 11(2) (2019), 387--418.

The generalized t-Comtet numbers and some combinatorial applications

with H. Belbachir and C. Forero*. Miskolc Mathematical Notes, 20 (1)(2019), 99--114.

On generalized derangements and some orthogonal polynomials,

with I. Mező and C. Y. Wang. INTEGERS, 19 #A6 (2019), 1-19. (web, pdf)
2018

Eulerian numbers associated with arithmetical progressions,

with S. Villamarín* and D. Villamizar*.Electronic Journal of Combinatorics, 25(1) (2018), P1.48, 1–12. (web, pdf)

Combinatorial and arithmetical properties of the restricted and associated Bell and factorial numbers,

with V. Moll and D. Villamizar.Journal of Combinatorics, 9(4) (2018), 693–720. (web, pdf, arXiv)

Some polynomials associated with the r-Whitney numbers

with C. Corcino, R. Corcino, I. Mező. Proceedings - Mathematical Sciences (Springer), 128(27) (2018), 1-25 (web, pdf).

Some determinants involving incomplete Fubini numbers

with T. Komatsu,Analele Universitatii "Ovidius" Constanta - Seria Matematica, 26(3) (2018), 143-170. (web)

The r-Bessel and restricted r-Bell numbers

with J.-H. Jung and I. Mező.The Australasian Journal of Combinatorics, 70(2) (2018), 202–220. (web, pdf)
2017

Divisibility properties of the r-Bell numbers and polynomials,

with I. Mező.Journal of Number Theory, 177 (2017), 136–152. (web, pdf)

A generalization of the r-Whitney numbers of the second kind

with T. Mansour and M. Shattuck.Journal of Combinatorics, 8(1) (2017), 29–55. (web, pdf).

Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete r-Stirling numbers

with T. Komatsu,Aequationes Mathematicae. 91 (2017), 1055–1071. (web, pdf)

Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the q-Hurwitz-Lerch Zeta function

with T. Komatsu,Mediterranean Journal of Mathematics. 14 (2017), 1–19. (web)
2016

Some identities of the r-Whitney Numbers

with I. Mező.Aequationes Mathematicae, 90(2) (2016), 393–406. (web, pdf)

Generalized r-Whitney numbers of the first kind

with M. Shattuck.Annales Mathematicae et Informaticae, 46 (2016), 175--193. (pdf)

A (p,q)-analogue of the r-Whitney-Lah Numbers

with M. Shattuck.Journal of Integer Sequences, 19 (2016), Article 16.5.6, 1–21. (web, pdf).
2015

The linear algebra of the r-Whitney matrices

with I. Mező.Integral Transforms and Special Functions, 26(3) (2015), 213–225. (web, pdf)

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