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- Mahid M. Mangontarum, Amila P. Macodi-Ringia, Normalah S. Abdulcarim
- International scholarly research notices
- 2014

More properties for the translated Whitney numbers of the second kind such as horizontal generating function, explicit formula, and exponential generating function are proposed. Using the translated Whitney numbers of the second kind, we will define the translated Dowling polynomials and numbers. Basic properties such as exponential generating functions and… (More)

We define the (q, r)-Whitney numbers of the first and second kinds in terms of the q-Boson operators, and obtain several fundamental properties such as recurrence formulas, orthogonality and inverse relations, and other interesting identities. As a special case, we obtain a q-analogue of the r-Stirling numbers of the first and second kinds. Finally, we… (More)

- Roberto B. Corcino, Mahid M. Mangontarum
- Ars Comb.
- 2015

The (q, r)-Whitney numbers were recently defined in terms of the q-Boson operators, and several combinatorial properties which appear to be q-analogues of similar properties were studied. In this paper, we obtain elementary and complete symmetric polynomial forms for the (q, r)-Whitney numbers, and give combinatorial interpretations in the context of… (More)

- Mahid M. Mangontarum, Omar I. Cauntongan, Amila P. Macodi-Ringia
- Int. J. Math. Mathematical Sciences
- 2016

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