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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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