Hankel Transform of (q,r)-Dowling Numbers

Authors

  • Roberto B. Corcino
  • Mary Joy Regidor Latayada Caraga State University
  • Mary Ann Ritzell P. Vega

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i2.3406

Keywords:

{r-Whitney numbers, r-Dowling numbers, generating function, q-analogue, q-exponential function, A-tableau, convolution formula, Hankel transform, Hankel matrix, k-binomial transform.

Abstract

In this paper, we establish certain combinatorial interpretation for q-analogue of r-Whitney numbers of the second kind defined by Corcino and Ca\~{n}ete in the context of A-tableaux. We derive convolution-type identities by making use of the combinatorics of A-tableaux. Finally, we define a q-analogue of r-Dowling numbers and obtain some necessary properties including its Hankel transform.

Author Biography

  • Mary Joy Regidor Latayada, Caraga State University

    Department of Mathematics

    Associate Prof 2

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Published

2019-04-29

Issue

Vol. 12 No. 2: (April 2019)

Section

Algebra

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How to Cite

Hankel Transform of (q,r)-Dowling Numbers. (2019). European Journal of Pure and Applied Mathematics, 12(2), 279-293. https://doi.org/10.29020/nybg.ejpam.v12i2.3406