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

Roberto Bagsarsa Corcino, Jay Ontolan, Gladys Jane Rama

Abstract

In this paper, using the rational generating for the second form of the q-analogue of r-Whitney numbers of the second kind, certain divisibility property for this form is established. Moreover, the Hankel transform for the second form of the q-analogue of r-Dowling numbers is derived. 

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

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