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On hyperbolic k-Jacobsthal and k-Jacobsthal-Lucas octonions

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Özet

In this work, we investigate the hyperbolic k-Jacobsthal and k-Jacobsthal-Lucas octonions. We give Binet's Formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating functions of the hyperbolic k-Jacobsthal and k-Jacobsthal-Lucas octonions. Also, we present many properties of these octonions.

Anahtar Kelimeler

Hyperbolic k-Jacobsthal octonionsHyperbolic k-Jacobsthal-Lucas octonionsBinet formulaCassini identityCatalan identityFIBONACCINUMBERSMathematics
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorOzkan, Engin
dc.contributor.authorUysal, Mine
dc.date.accessioned2026-10-18T20:36:33.240832095Z
dc.date.available2026-10-18T20:36:33.240832095Z
dc.date.issued2022
dc.description.abstractIn this work, we investigate the hyperbolic k-Jacobsthal and k-Jacobsthal-Lucas octonions. We give Binet's Formula, Cassini's identity, Catalan's identity, d'Ocagne identity, generating functions of the hyperbolic k-Jacobsthal and k-Jacobsthal-Lucas octonions. Also, we present many properties of these octonions.
dc.identifier.doi10.7546/nntdm.2022.28.2.318-330
dc.identifier.eissn2367-8275
dc.identifier.endpage330
dc.identifier.issn1310-5132
dc.identifier.issue2
dc.identifier.startpage318
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16684
dc.identifier.volume28
dc.identifier.wosWOS:000824438300012
dc.language.isoen
dc.publisherBULGARIAN ACAD SCIENCE
dc.relation.ispartofNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectHyperbolic k-Jacobsthal octonions
dc.subjectHyperbolic k-Jacobsthal-Lucas octonions
dc.subjectBinet formula
dc.subjectCassini identity
dc.subjectCatalan identity
dc.subjectFIBONACCI
dc.subjectNUMBERS
dc.subjectMathematics
dc.titleOn hyperbolic k-Jacobsthal and k-Jacobsthal-Lucas octonions
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos5
rdl.oa.statusgold
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)