Hankel Transform of the Type 2 (p,q)-Analogue of r-Dowling Numbers

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.

Automated summary

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.