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https://hdl.handle.net/20.500.11851/7637
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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 | 2007 | en_US |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.issn | 1879-1778 | - |
dc.identifier.uri | https://doi.org/10.1016/j.cam.2006.10.071 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/7637 | - |
dc.description.abstract | In this paper, we consider the usual and generalized order-k Fibonacci and Pell recurrences, then we define a new recurrence, which we call generalized order-k F-P sequence. Also we present a systematic investigation of the generalized order-k F-P sequence. We give the generalized Binet formula, some identities and an explicit formula for sums of the generalized order-k F-P sequence by matrix methods. Further, we give the generating function and combinatorial representations of these numbers. Also we present an algorithm for computing the sums of the generalized order-k Pell numbers, as well as the Pell numbers themselves. (C) 2006 Elsevier B.V. All rights reserved. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier Science Bv | en_US |
dc.relation.ispartof | Journal of Computational And Applied Mathematics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | generalized Fibonacci and Pell number | en_US |
dc.subject | sums | en_US |
dc.subject | generating function | en_US |
dc.subject | matrix methods | en_US |
dc.title | The Generalized Order-K Fibonacci-Pell Sequence by Matrix Methods | 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 | 209 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.startpage | 133 | en_US |
dc.identifier.endpage | 145 | en_US |
dc.authorid | 0000-0003-0722-7382 | - |
dc.identifier.wos | WOS:000253502800001 | en_US |
dc.identifier.scopus | 2-s2.0-34548410352 | en_US |
dc.institutionauthor | Kılıç, Emrah | - |
dc.identifier.doi | 10.1016/j.cam.2006.10.071 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q2 | - |
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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