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M. Benoumhani, On Whitney numbers of Dowling lattices, Discrete Math., 159 (1996), 13-33.

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Article

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

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


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 3, 74-81
DOI: 10.12691/tjant-4-3-4
Copyright © 2016 Science and Education Publishing

Cite this paper:
Mahid M. Mangontarum, Omar I. Cauntongan, 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.

Correspondence to: Mahid  M. Mangontarum, Department of Mathematics, Mindanao State University-Main Campus, 9700 Marawi City, Philippines. Email: mmangontarum@yahoo.com, mangontarum.mahid@msumain.edu.ph

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.

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