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Generalization of the Distance Fibonacci Sequences

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dc.contributor.authorÖZKAN, ENGİN
dc.contributor.authorsYılmaz N. Ş., Włoch A., Özkan E.
dc.date.accessioned2024-06-26T12:32:39Z
dc.date.accessioned2026-01-11T13:41:30Z
dc.date.available2024-06-26T12:32:39Z
dc.date.issued2024-06-01
dc.description.abstractIn this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties. Additionally, we explored the construction of matrix generators for these sequences and offered a graphical representation to clarify their structure. Furthermore, we demonstrated how these generalizations can be applied to obtain the Padovan and Narayana sequences for specific parameter values. Keywords: distance Fibonacci numbers; generalized Fibonacci numbers; negative integers; matrix generators
dc.identifier.citationYılmaz N. Ş., Włoch A., Özkan E., "Generalization of the Distance Fibonacci Sequences", Axioms, cilt.13, sa.7, ss.1-16, 2024
dc.identifier.endpage16
dc.identifier.issue7
dc.identifier.startpage1
dc.identifier.urihttps://avesis.marmara.edu.tr/api/publication/7aff8adc-27b2-45cc-a238-02ae5aa8b0c2/file
dc.identifier.urihttps://hdl.handle.net/11424/297092
dc.identifier.volume13
dc.language.isoeng
dc.relation.ispartofAxioms
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMatematik
dc.subjectTemel Bilimler
dc.subjectMathematics
dc.subjectNatural Sciences
dc.subjectTemel Bilimler (SCI)
dc.subjectDoğa Bilimleri Genel
dc.subjectÇOK DİSİPLİNLİ BİLİMLER
dc.subjectMATEMATİK
dc.subjectNatural Sciences (SCI)
dc.subjectNATURAL SCIENCES, GENERAL
dc.subjectMATHEMATICS
dc.subjectMULTIDISCIPLINARY SCIENCES
dc.subjectMantık
dc.subjectGeometri ve Topoloji
dc.subjectAyrık Matematik ve Kombinatorik
dc.subjectMultidisipliner
dc.subjectFizik Bilimleri
dc.subjectLogic
dc.subjectGeometry and Topology
dc.subjectDiscrete Mathematics and Combinatorics
dc.subjectMultidisciplinary
dc.subjectPhysical Sciences
dc.subjectdistance Fibonacci numbers
dc.subjectgeneralized Fibonacci numbers
dc.subjectnegative integers
dc.subjectmatrix generators
dc.titleGeneralization of the Distance Fibonacci Sequences
dc.typearticle
dspace.entity.typePublication

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