Hankel Transform of the First Form (q,r)-Dowling Numbers

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i3.3953

Keywords:

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

Abstract

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. Consequently, the Hankel trans- form of the first form (q, r)-Dowling numbers is obtained as special case.

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Published

2021-08-05

Issue

Vol. 14 No. 3: (July 2021)

Section

Nonlinear Analysis

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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 the First Form (q,r)-Dowling Numbers. (2021). European Journal of Pure and Applied Mathematics, 14(3), 746-759. https://doi.org/10.29020/nybg.ejpam.v14i3.3953

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