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https://hdl.handle.net/20.500.11851/7636
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kılıç, Emrah | - |
dc.date.accessioned | 2021-09-11T15:58:26Z | - |
dc.date.available | 2021-09-11T15:58:26Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.issn | 0195-6698 | - |
dc.identifier.uri | https://doi.org/10.1016/j.ejc.2009.03.041 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/7636 | - |
dc.description.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. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Academic Press Ltd- Elsevier Science Ltd | en_US |
dc.relation.ispartof | European Journal of Combinatorics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | [No Keywords] | en_US |
dc.title | The Generalized Fibonomial Matrix | 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 | 31 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 193 | en_US |
dc.identifier.endpage | 209 | en_US |
dc.authorid | 0000-0003-0722-7382 | - |
dc.identifier.wos | WOS:000271971000017 | en_US |
dc.identifier.scopus | 2-s2.0-70350098082 | en_US |
dc.institutionauthor | Kılıç, Emrah | - |
dc.identifier.doi | 10.1016/j.ejc.2009.03.041 | - |
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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