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https://hdl.handle.net/20.500.11851/7638
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kılıç, Emrah | - |
dc.date.accessioned | 2021-09-11T15:58:27Z | - |
dc.date.available | 2021-09-11T15:58:27Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.issn | 0960-0779 | - |
dc.identifier.issn | 1873-2887 | - |
dc.identifier.uri | https://doi.org/10.1016/j.chaos.2007.09.081 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/7638 | - |
dc.description.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. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
dc.relation.ispartof | Chaos Solitons & Fractals | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | [No Keywords] | en_US |
dc.title | The Generalized Pell (p, I)-Numbers and Their Binet Formulas, Combinatorial Representations, Sums | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 40 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 2047 | en_US |
dc.identifier.endpage | 2063 | en_US |
dc.authorid | 0000-0003-0722-7382 | - |
dc.identifier.wos | WOS:000266653500044 | en_US |
dc.identifier.scopus | 2-s2.0-65449183211 | en_US |
dc.institutionauthor | Kılıç, Emrah | - |
dc.identifier.doi | 10.1016/j.chaos.2007.09.081 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q1 | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 07.03. Department of Mathematics | - |
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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