On the Translated Whitney Numbers and their Combinatorial Properties
Mahid M. Mangontarum, Amerah M. Dibagulun
Current Journal of Applied Science and Technology · pp. 1–15 · Published 6 Sep 2015
10.9734/BJAST/2015/19973Abstract
In this paper, we further develop the study of the translated Whitney numbers by deriving more combinatorial properties such as more recurrence relations, exponential and rational generating functions and the orthogonality and inverse relations. To achieve this goal, we introduce the “signed” translated Whitney numbers of the first kind. A relationship between these numbers and the Bernoulli polynomials is also briefly discussed.
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