Journal
AXIOMS
Volume 10, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/axioms10040343
Keywords
r-Whitney numbers; r-Dowling numbers; A-tableaux; convolution identities; binomial transform; Hankel transform
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Funding
- Department of Science and Technology
- Cebu Normal University
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In this paper, the type 2 (p,q)-analogue of the r-Whitney numbers of the second kind is defined, along with a combinatorial interpretation in the context of A-tableaux. Convolution-type identities useful for deriving the Hankel transform of the type 2 (p,q)-analogue of the r-Whitney numbers of the second kind are obtained. Lastly, the Hankel transform of the type 2 (p,q)-analogue of the r-Dowling numbers is established.
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.
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