Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7636
Title: The generalized Fibonomial matrix
Authors: Kılıç, Emrah
Keywords: [No Keywords]
Issue Date: 2010
Publisher: Academic Press Ltd- Elsevier Science Ltd
Abstract: The Fibonomial coefficients are known as interesting generalizations of binomial coefficients. In this paper, we derive a (k + 1)th recurrence relation and generating matrix for the Fibonomial coefficients, which we call generalized Fibonomial matrix. We find a nice relationship between the eigenvalues of the Fibonomial matrix and the generalized right-adjusted Pascal matrix; that they have the same eigenvalues. We obtain generating functions, combinatorial representations, many new interesting identities and properties of the Fibonomial coefficients. Some applications are also given as examples. (C) 2009 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.ejc.2009.03.041
https://hdl.handle.net/20.500.11851/7636
ISSN: 0195-6698
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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