Fundamental properties of extended Horadam numbers

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dc.authoridGürses, Nurten/0000-0001-8407-854X
dc.authoridSaçlı (Şentürk), Gülsüm Yeliz/0000-0002-8647-1801
dc.authoridYUCE, SALIM/0000-0002-8296-6495
dc.contributor.authorŞentürk, Gülsüm Yeliz
dc.contributor.authorGürses, Nurten
dc.contributor.authorYüce, Salim
dc.date.accessioned2024-09-11T19:53:28Z
dc.date.available2024-09-11T19:53:28Z
dc.date.issued2021
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractIn this paper, the extended Horadam numbers are introduced by using dual-generalized complex, hyperbolic-generalized complex and complex-generalized complex numbers. Then, generating function, Binet's formula, D'Ocagne's, Catalan's and Cassini's identities are given. Moreover, specialy matrix representations of the extended Horadam numbers are investigated. In conclusion, the results and classification of the special cases are introduced.en_US
dc.identifier.doi10.7546/nntdm.2021.27.4.219-235
dc.identifier.endpage235en_US
dc.identifier.issn1310-5132
dc.identifier.issn2367-8275
dc.identifier.issue4en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage219en_US
dc.identifier.urihttps://doi.org/10.7546/nntdm.2021.27.4.219-235
dc.identifier.urihttps://hdl.handle.net/11363/8142
dc.identifier.volume27en_US
dc.identifier.wosWOS:000752399400022en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherBulgarian Acad Scienceen_US
dc.relation.ispartofNotes on Number Theory And Discrete Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectHoradam numberen_US
dc.subjectDual-generalized complex numberen_US
dc.subjectHyperbolic-generalized complex numberen_US
dc.subjectBinet's formulaen_US
dc.subjectD'Ocagne's identityen_US
dc.subjectCatalan's identityen_US
dc.subjectCassini's identityen_US
dc.titleFundamental properties of extended Horadam numbersen_US
dc.typeArticleen_US

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