Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7636
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dc.contributor.authorKılıç, Emrah-
dc.date.accessioned2021-09-11T15:58:26Z-
dc.date.available2021-09-11T15:58:26Z-
dc.date.issued2010en_US
dc.identifier.issn0195-6698-
dc.identifier.urihttps://doi.org/10.1016/j.ejc.2009.03.041-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/7636-
dc.description.abstractThe 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.isoenen_US
dc.publisherAcademic Press Ltd- Elsevier Science Ltden_US
dc.relation.ispartofEuropean Journal of Combinatoricsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject[No Keywords]en_US
dc.titleThe generalized Fibonomial matrixen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume31en_US
dc.identifier.issue1en_US
dc.identifier.startpage193en_US
dc.identifier.endpage209en_US
dc.authorid0000-0003-0722-7382-
dc.identifier.wosWOS:000271971000017en_US
dc.identifier.scopus2-s2.0-70350098082en_US
dc.institutionauthorKılıç, Emrah-
dc.identifier.doi10.1016/j.ejc.2009.03.041-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ1-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.grantfulltextnone-
crisitem.author.dept07.03. 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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