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The Fibonacci and Lucas Generalized Quaternionic Sequences Over HGC Numbers

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dc.contributor.authorSacli, G. Y.
dc.contributor.authorGurses, N.
dc.date.accessioned2026-06-27T15:23:57Z
dc.date.issued2025
dc.description.abstractIn this paper, with the use of generalized complex and hyperbolic numbers, we build the theory of generalized quaternions with hyperbolic-generalized complex (HGC) numbers as coefficients. Additionally, certain associated theoretical universal results involving HGC Fibonacci and Lucas numbers, including their generalized quaternions, are established. With this approach, bihyperbolic, hyperbolic-complex, and hyperbolic-dual generalized quaternions can be determined for specified values of p is an element of R. It is also possible to study numerous types of quaternions with HGC number coefficients and their attributes depending on the choice of the real values alpha and beta.en
dc.description.sponsorshipIstanbul Gelisim University Office of Scientific Research Projects Coordination [DUP-210720-GYS]
dc.description.urihttps://doi.org/10.1134/s0965542525701155
dc.identifier.doi10.1134/s0965542525701155
dc.identifier.eissn1555-6662
dc.identifier.endpage2086
dc.identifier.issn0965-5425
dc.identifier.issue9
dc.identifier.startpage2074
dc.identifier.urihttps://hdl.handle.net/20.500.14981/70505
dc.identifier.volume65
dc.identifier.wos001617744300017
dc.language.isoeng
dc.publisherPLEIADES PUBLISHING LTD
dc.relation.ispartofCOMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
dc.subjectHyperbolic-generalized complex number
dc.subjectgeneralized quaternion
dc.subjectFibonacci number
dc.subjectLucas number
dc.subjectCOMPLEX
dc.subjectMathematics
dc.subjectPhysics
dc.titleThe Fibonacci and Lucas Generalized Quaternionic Sequences Over HGC Numbers
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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