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17 pages, 320 KB  
Article
Hankel Transform of the Type 2 (p,q)-Analogue of r-Dowling Numbers
by Roberto Corcino, Mary Ann Ritzell Vega and Amerah Dibagulun
Axioms 2021, 10(4), 343; https://doi.org/10.3390/axioms10040343 - 16 Dec 2021
Viewed by 2892
Abstract
In this paper, type 2 (p,q)-analogues of the r-Whitney numbers of the second kind is defined and a combinatorial interpretation in the context of the A-tableaux is given. Moreover, some convolution-type identities, which are useful in [...] Read more.
In this paper, type 2 (p,q)-analogues of the r-Whitney numbers of the second kind is defined and a combinatorial interpretation in the context of the A-tableaux is given. Moreover, some convolution-type identities, which are useful in deriving the Hankel transform of the type 2 (p,q)-analogue of the r-Whitney numbers of the second kind are obtained. Finally, the Hankel transform of the type 2 (p,q)-analogue of the r-Dowling numbers are established. Full article
(This article belongs to the Special Issue p-adic Analysis and q-Calculus with Their Applications)
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