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Higher-Order Jacobsthal–Lucas Quaternions

ArticleAçık Erişim

Özet

In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties. We give Binet’s formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, and exponential generating functions of the higher-order Jacobsthal–Lucas quaternions. We also give some relations between higher-order Jacobsthal and Jacobsthal–Lucas quaternions. © 2022 by the authors.

Anahtar Kelimeler

Binet formulahigher-order Jacobsthal–Lucas quaternionsJacobsthal–Lucas quaternions
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12889Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.3390/axioms11120671Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorUysal, Mine
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:27:44.792057478Z
dc.date.available2026-10-18T20:27:44.792057478Z
dc.date.issued2022
dc.description.abstractIn this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties. We give Binet’s formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, and exponential generating functions of the higher-order Jacobsthal–Lucas quaternions. We also give some relations between higher-order Jacobsthal and Jacobsthal–Lucas quaternions. © 2022 by the authors.
dc.identifier.doi10.3390/axioms11120671
dc.identifier.eissn2075-1680
dc.identifier.issn2075-1680
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85144659634
dc.identifier.startpage671
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12889
dc.identifier.volume11
dc.identifier.wosWOS:000900342800001
dc.language.isoen
dc.publisherMDPI
dc.relation.ispartofAxioms
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBinet formula
dc.subjecthigher-order Jacobsthal–Lucas quaternions
dc.subjectJacobsthal–Lucas quaternions
dc.titleHigher-Order Jacobsthal–Lucas Quaternions
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus17
rdl.citation.wos12
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)