Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7638
Title: The generalized Pell (p, i)-numbers and their Binet formulas, combinatorial representations, sums
Authors: Kılıç, Emrah
Keywords: [No Keywords]
Issue Date: 2009
Publisher: Pergamon-Elsevier Science Ltd
Abstract: The theory of generalized Pell p-numbers was introduced by Stakhov and then have been studied by several authors. In this paper. we consider the usual Pell numbers and as similar to the Fibonacci p-numbers, we give fair generalization of the Pell numbers, which we call the generalized Pell (p, i)-numbers for 0 <= i <= p. First we give relationships between the generalized Pell (p, i)-numbers and give the generating matrices for these numbers. Also we derive the generalized Binet formulas, sums, combinatorial representations and generating function of the generalized Pell p-numbers. Also using matrix methods, we derive all explicit formula for file sums of the generalized Fibonacci p-numbers. Finally, we derive relationships between generalized Pell (p, i)-numbers and their sums and permanents of certain matrices. (c) 2007 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.chaos.2007.09.081
https://hdl.handle.net/20.500.11851/7638
ISSN: 0960-0779
1873-2887
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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