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On relationship among a new family of k-fibonacci, k-lucas numbers, fibonacci and lucas numbers

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We prove some theorems concerning a family of Fibonacci numbers defined in [11]. We give some relationship between the family of Fibonacci and Lucas numbers. Then we define a new family of k-Lucas numbers and prove some properties of it related to the Lucas numbers and the family of Lucas numbers. © 2017, Chiang Mai University. All rights reserved.

Anahtar Kelimeler

Fibonacci numbersGeneralized fibonacci numbersLucas numbersPeriodRecurrance relation
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AlanDeğerDil
dc.contributor.authorÖzkan, Engin
dc.contributor.authorAltun, İpek
dc.contributor.authorGöçer, Ali Aykut
dc.date.accessioned2026-10-18T20:29:38.582102353Z
dc.date.available2026-10-18T20:29:38.582102353Z
dc.date.issued2017
dc.description.abstractWe prove some theorems concerning a family of Fibonacci numbers defined in [11]. We give some relationship between the family of Fibonacci and Lucas numbers. Then we define a new family of k-Lucas numbers and prove some properties of it related to the Lucas numbers and the family of Lucas numbers. © 2017, Chiang Mai University. All rights reserved.
dc.identifier.endpage1750
dc.identifier.issn0125-2526
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85030670445
dc.identifier.startpage1744
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14844
dc.identifier.volume44
dc.language.isoen
dc.publisherChiang Mai University
dc.relation.ispartofChiang Mai Journal of Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFibonacci numbers
dc.subjectGeneralized fibonacci numbers
dc.subjectLucas numbers
dc.subjectPeriod
dc.subjectRecurrance relation
dc.titleOn relationship among a new family of k-fibonacci, k-lucas numbers, fibonacci and lucas numbers
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus21
rdl.source.indexSCOPUS