Publication:
A New Perspective on Fibonacci and Lucas Numbers

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dc.authorscopusid57223742447
dc.authorscopusid16480210200
dc.authorwosidDeğirmen, Nilay/Ahh-4131-2022
dc.contributor.authorDeğirmen, Nilay
dc.contributor.authorDuyar, Cenap
dc.contributor.authorIDDeğirmen, Nilay/0000-0001-8192-8473
dc.date.accessioned2025-12-11T00:54:20Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Degirmen, Nilay; Duyar, Cenap] Ondokuz Mayis Univ, Deparment Math, Samsun, Turkiyeen_US
dc.descriptionDeğirmen, Nilay/0000-0001-8192-8473en_US
dc.description.abstractIn the present work, we introduce a new version of Fibonacci and Lucas numbers which we will call non-Newtonian Fibonacci and non-Newtonian Lucas numbers. Also, we discuss a variety of some properties of them. Furthermore, we give some formulas and identities such as Binet's formula, the d'Ocagne's identity, Cassini's identity and Gelin-Cesaro identity involving these new types and we find the generating functions for these numbers.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.2298/FIL2328561D
dc.identifier.endpage9574en_US
dc.identifier.issn0354-5180
dc.identifier.issue28en_US
dc.identifier.scopus2-s2.0-85168942634
dc.identifier.scopusqualityQ3
dc.identifier.startpage9561en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2328561D
dc.identifier.urihttps://hdl.handle.net/20.500.12712/40127
dc.identifier.volume37en_US
dc.identifier.wosWOS:001052792400001
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNon-Newtonian Calculusen_US
dc.subjectLucas Numberen_US
dc.subjectFibonacci Numberen_US
dc.subjectBinet's Formulaen_US
dc.subjectGenerating Functionen_US
dc.titleA New Perspective on Fibonacci and Lucas Numbersen_US
dc.typeArticleen_US
dspace.entity.typePublication

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