The matrix sequence in terms of bi-periodic fibonacci numbers

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dc.contributor.authorCoskun, Arzu.
dc.contributor.authorTaskara, Necati.
dc.date.accessioned2020-03-26T20:19:32Z
dc.date.available2020-03-26T20:19:32Z
dc.date.issued2019
dc.departmentSelçuk Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After, we say that some behaviours of bi-periodic Fibonacci numbers can be obtained via the properties of this new matrix sequence. Finally, we express that well-known matrix sequences such as Fibonacci, Pell, k-Fibonacci matrix sequences are special cases of this generalized matrix sequence.en_US
dc.identifier.citationCoskun, A., Taskara, N. (2019). The Matrix Sequence in terms of Bi-Periodic Fibonacci Numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1939-1949.
dc.identifier.endpage1949en_US
dc.identifier.issn1303-5991en_US
dc.identifier.issue2en_US
dc.identifier.pmid#YOKen_US
dc.identifier.startpage1939en_US
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.571975
dc.identifier.urihttps://hdl.handle.net/20.500.12395/38307
dc.identifier.volume68en_US
dc.identifier.wosWOS:000488869500060en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorCoskun, Arzu.
dc.institutionauthorTaskara, Necati.
dc.language.isoenen_US
dc.publisherANKARA UNIV, FAC SCIen_US
dc.relation.ispartofCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBi-periodic Fibonacci matrix sequenceen_US
dc.subjectbi-periodic Fibonacci numbersen_US
dc.subjectBinet formulaen_US
dc.subjectgenerating functionen_US
dc.titleThe matrix sequence in terms of bi-periodic fibonacci numbersen_US
dc.typeArticleen_US

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