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

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.

Published
2021-08-05
Section
Nonlinear Analysis