A -Analogue of -Whitney Numbers of the Second Kind and Its Hankel Transform

RB Corcino, JM Ontolan, J Cañete… - arXiv preprint arXiv …, 2019 - arxiv.org
A $ q $-analogue of $ r $-Whitney numbers of the second kind, denoted by $ W_ {m, r}[n, k]
_q $, is defined by means of a triangular recurrence relation. In this paper, several …

Hankel transform of the second form (q, r)-dowling numbers

RB Corcino, J Ontolan, GJ Rama - European Journal of Pure and …, 2019 - ejpam.com
In this paper, using the rational generating for the second form of the q-analogue of r-
Whitney numbers of the second kind, certain divisibility property for this form is established …

Explicit formulas for the first form (q, r)-dowling numbers and (q, r)-whitney-lah numbers

RB Corcino, JM Ontolan, MRS Lobrigas - arXiv preprint arXiv:2012.07249, 2020 - arxiv.org
In this paper, a q-analogue of r-Whitney-Lah numbers, also known as (q, r)-Whitney-Lah
number, denoted by $ L_ {m, r}[n, k] _q $ is defined using the triangular recurrence relation …

[PDF][PDF] A (p, q)-analogue of Qi-type formula for r-Dowling numbers

RB Corcino, MP Vega, AM Dibagulun - J. Math. Computer Sci, 2021 - researchgate.net
In this paper,(p, q)-analogues of r-Whitney numbers of the first and second kinds are defined
using horizontal generating functions. Several fundamental properties such as orthogonality …

Hankel Transform of the first form (q, r)-Dowling Numbers

RB Corcino - arXiv preprint arXiv:2103.08062, 2021 - arxiv.org
In this paper, the Hankel transform of the generalized q-exponential polynomial of the first
form (q, r)-Whitney numbers of the second kind is established using the method of Cigler …

On Divisibility Property of Type 2 -Analogue of -Whitney Numbers of the Second Kind

RB Corcino, CB Corcino - arXiv preprint arXiv:2208.04527, 2022 - arxiv.org
arXiv:2208.04527v1 [math.CO] 9 Aug 2022 On Divisibility Property of Type 2 (p, q)-Analogue of
r-Whitney Numbers of the Second Page 1 arXiv:2208.04527v1 [math.CO] 9 Aug 2022 On …

Hankel Transform of the Type 2 (p,q)-Analogue of r-Dowling Numbers

R Corcino, MAR Vega, A Dibagulun - Axioms, 2021 - mdpi.com
In this paper, type 2 (p, q)-analogues of the r-Whitney numbers of the second kind is defined
and a combinatorial interpretation in the context of the A-tableaux is given. Moreover, some …

The r-Dowling numbers and matrices containing r-Whitney numbers of the second kind and Lah numbers

RB Corcino, C Montero, M Montero… - European Journal of Pure …, 2019 - ejpam.com
This paper derives another form of explicit formula for $(r,\beta) $-Bell numbers using the
Faa di Bruno's formula and certain identity of Bell polynomials of the second kind. This …

[PDF][PDF] Hankel Transform of the Type 2 (p, q)-Analogue of r-Dowling Numbers. Axioms 2021, 10, 343

R Corcino, MAR Vega, A Dibagulun - 2021 - academia.edu
In this paper, type 2 (p, q)-analogues of the r-Whitney numbers of the second kind is defined
and a combinatorial interpretation in the context of the A-tableaux is given. Moreover, some …

[PDF][PDF] A q-analogue of generalized translated Whitney numbers: Cigler's approach

RB Corcinoa, JC Fernandezb, MARP Vegac - researchgate.net
Using a certain combinatorial interpretation in terms of set partition, a q-analogue of
generalized translated Whitney numbers of the second kind is defined in this paper. Some …