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Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

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In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the paper. Furthermore, we give relationships between the Fibonacci polynomials and the Lucas polynomials. © 2019, © 2019 Taylor & Francis Group, LLC.

Anahtar Kelimeler

Fibonacci numbersFibonacci polynomialsLucas numbersLucas polynomials
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AlanDeğerDil
dc.contributor.authorÖzkan, Engin
dc.contributor.authorAltun, İpek
dc.date.accessioned2026-10-18T20:28:38.412905673Z
dc.date.available2026-10-18T20:28:38.412905673Z
dc.date.issued2019
dc.description.abstractIn this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the paper. Furthermore, we give relationships between the Fibonacci polynomials and the Lucas polynomials. © 2019, © 2019 Taylor & Francis Group, LLC.
dc.identifier.doi10.1080/00927872.2019.1576186
dc.identifier.eissn1532-4125
dc.identifier.endpage4030
dc.identifier.issn0092-7872
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85063947084
dc.identifier.startpage4020
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13834
dc.identifier.volume47
dc.identifier.wosWOS:000466002500001
dc.language.isoen
dc.publisherTaylor and Francis Inc.
dc.relation.ispartofCommunications in Algebra
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFibonacci numbers
dc.subjectFibonacci polynomials
dc.subjectLucas numbers
dc.subjectLucas polynomials
dc.titleGeneralized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus33
rdl.citation.wos32
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)