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)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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