Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/47089
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dc.contributor.authorAsci, Mustafa-
dc.contributor.authorAydinyuz, Suleyman-
dc.date.accessioned2023-01-09T21:23:18Z-
dc.date.available2023-01-09T21:23:18Z-
dc.date.issued2021-
dc.identifier.issn1844-9581-
dc.identifier.urihttps://doi.org/10.46939/J.Sci.Arts-21.1-a04-
dc.identifier.urihttps://hdl.handle.net/11499/47089-
dc.description.abstractIn this paper, we define and study another interesting generalization of the Fibonacci quaternions is called k-order Fibonacci quaternions. Then we obtain for k = 2 Fibonacci quaternions, for k = 3 Tribonacci quaternions and for k = 4 Tetranacci quaternions. We give generating function, the summation formula and some properties about k-order Fibonacci quaternions. Also, we identify and prove the matrix representation for korder Fibonacci quaternions. The Q(k) matrix given for k-order Fibonacci numbers is defined for k-order Fibonacci quaternions and after the matrices with the k-order Fibonacci quaternions is obtained with help of auxiliary matrices, important relationships and identities are established.en_US
dc.description.sponsorshipScientific Research Project (BAP), Pamukkale University, Denizli, Turkey [2020FEBE003]en_US
dc.description.sponsorshipThe authors thank to the anonymous referees for his/her comments and valuable suggestions that improved the presentation of the manuscript and this work is supported by the Scientific Research Project (BAP) 2020FEBE003, Pamukkale University, Denizli, Turkey.en_US
dc.language.isoenen_US
dc.publisherEditura Bibliotheca-Bibliotheca Publ Houseen_US
dc.relation.ispartofJournal Of Science And Artsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFibonacci numbersen_US
dc.subjectk-Order Fibonacci numbersen_US
dc.subjectquaternionsen_US
dc.subjectFibonacci quaternionsen_US
dc.subjectmatrix representationsen_US
dc.titlek-ORDER FIBONACCI QUATERNIONSen_US
dc.typeArticleen_US
dc.identifier.issue1en_US
dc.identifier.startpage29en_US
dc.identifier.endpage38en_US
dc.authoridAsci, Mustafa/0000-0003-3355-0909-
dc.identifier.doi10.46939/J.Sci.Arts-21.1-a04-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.authorwosidAsci, Mustafa/ABA-6215-2021-
dc.identifier.wosWOS:000637970300004en_US
item.languageiso639-1en-
item.openairetypeArticle-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.dept17.04. Mathematics-
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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