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Fundamental properties of extended Horadam numbers

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dc.contributor.authorSenturk, Gulsum Yeliz
dc.contributor.authorGurses, Nurten
dc.contributor.authorYuce, Salim
dc.date.accessioned2026-06-27T14:45:18Z
dc.date.issued2021
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
dc.description.urihttps://doi.org/10.7546/nntdm.2021.27.4.219-235
dc.identifier.doi10.7546/nntdm.2021.27.4.219-235
dc.identifier.eissn2367-8275
dc.identifier.endpage235
dc.identifier.issn1310-5132
dc.identifier.issue4
dc.identifier.startpage219
dc.identifier.urihttps://hdl.handle.net/20.500.14981/64354
dc.identifier.volume27
dc.identifier.wos000752399400022
dc.language.isoeng
dc.publisherBULGARIAN ACAD SCIENCE
dc.relation.ispartofNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
dc.rightsopenAccess
dc.subjectHoradam number
dc.subjectDual-generalized complex number
dc.subjectHyperbolic-generalized complex number
dc.subjectBinet's formula
dc.subjectD'Ocagne's identity
dc.subjectCatalan's identity
dc.subjectCassini's identity
dc.subjectCOMPLEX
dc.subjectFIBONACCI
dc.subjectMathematics
dc.titleFundamental properties of extended Horadam numbers
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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