Arithmetic properties of complex fibonacci numbers and fibonacci quaternions

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dc.contributor.authorLeung, Ho-Hon
dc.contributor.authorKamalov, Firuz
dc.date.accessioned2022-01-31T16:29:24Z
dc.date.available2022-01-31T16:29:24Z
dc.date.issued2021-09
dc.descriptionThis article is not available at CUD collection. The version of scholarly record of this article is published in Journal of Algebra and Applied Mathematics (2021), available online at: http://www.sasip.net/jaads_index.htmlen_US
dc.description.abstractIn this paper, we investigate certain arithmetic properties of complex Fibonacci numbers and Fibonacci quaternions. More specifically, we look at the divisibility properties of complex Fibonacci numbers and Fibonacci quaternions. Our results make use of some well-known Fibonacci identities. Since quaternions are non-commutative algebra, extra care has been taken to investigate the various divisibility properties of the Fibonacci quaternions. © SAS International Publications.en_US
dc.description.sponsorshipby UAEU SURE+ grant (Grant no. 00003159) in theen_US
dc.identifier.citationLeung, H. H., & Kamalov, F. (2021). Arithmetic properties of complex fibonacci numbers and fibonacci quaternions. Journal of Algebra and Applied Mathematics, 19(2), 115-129. http://www.sasip.net/jaads_index.htmlen_US
dc.identifier.issn23197234
dc.identifier.urihttp://www.sasip.net/jaads_index.html
dc.identifier.urihttp://hdl.handle.net/20.500.12519/502
dc.language.isoenen_US
dc.publisherSAS International Publicationsen_US
dc.relationAuthors Affiliations : Leung, H.H., Department of Mathematical Sciences, United Arab Emirates University, Al Ain, 15551, United Arab Emirates; Kamalov, F., School of Engineering, Canadian University Dubai, Dubai, United Arab Emirates
dc.relation.ispartofseriesJournal of Algebra and Applied Mathematics;Volume 19, Issue 2
dc.rightsPermission to reuse abstract has been secured from the author, Dr. Firuz Kamalov.
dc.rights.holderCopyright : © SAS International Publications.
dc.subjectComplex Fibonacci numberen_US
dc.subjectDivisibilityen_US
dc.subjectFibonacci quaternionen_US
dc.titleArithmetic properties of complex fibonacci numbers and fibonacci quaternionsen_US
dc.typeArticleen_US
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