A Note on the Translated Whitney Numbers and Their q-Analogues

Mahid M. Mangontarum^1, , Omar I. Cauntongan² and Amerah M. Dibagulun¹

¹Department of Mathematics, Mindanao State University-Main Campus, 9700 Marawi City, Philippines

²Department of Natural Sciences and Mathematics, Mindanao State University-Maigo School of Arts and Trades, 9206 Maigo, Lanao del Norte, Philippines

Cite this paper:
Mahid M. Mangontarum, Omar I. Cauntongan and Amerah M. Dibagulun. A Note on the Translated Whitney Numbers and Their q-Analogues. Turkish Journal of Analysis and Number Theory. 2016; 4(3):74-81. doi: 10.12691/tjant-4-3-4

Abstract

This paper presents natural q-analogues for the translated Whitney numbers. Several combinatorial properties which appear to be q-deformations of those classical ones are obtained. Moreover, we give a combinatorial interpretation of the classical translated Whitney numbers of the first and second kind, and their q-analogues in terms of A-tableaux.

Keywords:
translated Whitney numbers A-tableaux q-analogues

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