On complex hybrid numbers: Algebraic structures, matrix representations, and geometric interpretations

dc.contributor.authorSecgin, Furkan
dc.contributor.authorIlguz, Cagla Ramis
dc.contributor.authorGok, Ismail
dc.date.accessioned2026-02-08T15:15:21Z
dc.date.available2026-02-08T15:15:21Z
dc.date.issued2026
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractThis work introduces complex hybrid numbers, an extension of hybrid numbers, which are defined as Z = z0 + z1i + z2E + z3h where zi are complex numbers and ih = -hi = i + E. We investigate their algebraic properties, classify them into C1, C2, D, and P-types, and analyze their matrix representations. Numerical examples illustrate key findings, highlighting both their theoretical structure and potential areas of application. Key findings are demonstrated with numerical examples, emphasizing their structural importance and their uses.
dc.identifier.doi10.1016/j.kjs.2025.100528
dc.identifier.issn2307-4108
dc.identifier.issn2307-4116
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105026490273
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.kjs.2025.100528
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5741
dc.identifier.volume53
dc.identifier.wosWOS:001659747900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofKuwait Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWOS_KA_20260207
dc.subjectComplex numbers
dc.subjectHybrid numbers
dc.subjectMatrix representations
dc.subjectPauli matrices
dc.titleOn complex hybrid numbers: Algebraic structures, matrix representations, and geometric interpretations
dc.typeArticle

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