Split Fibonacci Quaternions

Akyiğit, Mahmut; Tosun, Murat; Kösal, Hidayet Hüda

dc.contributor.authors	Akyigit, M; Kosal, HH; Tosun, M;
dc.date.accessioned	2020-01-17T08:21:48Z
dc.date.available	2020-01-17T08:21:48Z
dc.date.issued	2013
dc.identifier.citation	Akyigit, M; Kosal, HH; Tosun, M; (2013). Split Fibonacci Quaternions. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 23, 545-535
dc.identifier.issn	0188-7009
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6179
dc.identifier.uri	https://doi.org/10.1007/s00006-013-0401-9
dc.description.abstract	Starting from ideas given by Horadam in [5] , in this paper, we will define the split Fibonacci quaternion, the split Lucas quaternion and the split generalized Fibonacci quaternion. We used the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations between the split Fibonacci, split Lucas and the split generalized Fibonacci quaternions. Moreover, we give Binet formulas and Cassini identities for these quaternions.
dc.language	English
dc.publisher	SPRINGER BASEL AG
dc.subject	Physics
dc.title	Split Fibonacci Quaternions
dc.type	Article
dc.identifier.volume	23
dc.identifier.startpage	535
dc.identifier.endpage	545
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Akyiğit, Mahmut
dc.contributor.saüauthor	Tosun, Murat
dc.contributor.saüauthor	Kösal, Hidayet Hüda
dc.relation.journal	ADVANCES IN APPLIED CLIFFORD ALGEBRAS
dc.identifier.wos	WOS:000323070100001
dc.identifier.doi	10.1007/s00006-013-0401-9
dc.contributor.author	Akyiğit, Mahmut
dc.contributor.author	Tosun, Murat
dc.contributor.author	Kösal, Hidayet Hüda