2-Fibonacci polynomials in the family of Fibonacci numbers

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dc.contributor.authorOzkan, Engin
dc.contributor.authorTastan, Merve
dc.contributor.authorAydogdu, Ali
dc.date.accessioned2024-03-13T10:33:28Z
dc.date.available2024-03-13T10:33:28Z
dc.date.issued2018
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn the present study, we define new 2-Fibonacci polynomials by using terms of a new family of Fibonacci numbers given in [4]. We show that there is a relationship between the coefficient of the 2-Fibonacci polynomials and Pascal's triangle. We give some identities of the 2-Fibonacci polynomials. Afterwards, we compare the polynomials with known Fibonacci polynomials. We also express 2-Fibonacci polynomials by the Fibonacci polynomials. Furthermore, we prove some theorems related to the polynomials. Also, we introduce the derivative of the 2-Fibonacci polynomials.en_US
dc.identifier.doi10.7546/nntdm.2018.24.3.47-55
dc.identifier.endpage55en_US
dc.identifier.issn1310-5132
dc.identifier.issn2367-8275
dc.identifier.issue3en_US
dc.identifier.startpage47en_US
dc.identifier.urihttps://doi.org/10.7546/nntdm.2018.24.3.47-55
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3972
dc.identifier.volume24en_US
dc.identifier.wosWOS:000448478500005en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherBulgarian Acad Scienceen_US
dc.relation.ispartofNotes On Number Theory And Discrete Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFibonacci numbersen_US
dc.subjectFibonacci polynomialsen_US
dc.subjectGeneralized Fibonacci polynomialsen_US
dc.title2-Fibonacci polynomials in the family of Fibonacci numbersen_US
dc.typeArticleen_US

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