A note on hyperbolic (p,q)-Fibonacci quaternions

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dc.contributor.authorYağmur, Tülay
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-12T10:54:04Z
dc.date.available2021-11-12T10:54:04Z
dc.date.issued2020-06-30
dc.description.abstractIn this paper, we introduce a new quaternion sequence called hyperbolic (p,q)-Fibonacci quaternions. This new quaternion sequence includes hyperbolic Fibonacci, hyperbolic k-Fibonacci, hyperbolic Pell, hyperbolic k-Pell, hyperbolic Jacobsthal, hyperbolic k-Jacobsthal quaternions. We give generating function and Binet formula for these quaternions. We also obtain some identities such as d'Ocagne's, Catalan's and Cassini's identities involving hyperbolic (p,q)-Fibonacci quaternions.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage890tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage880tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.582674tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76038
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.582674tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectFibonacci numberstr_TR
dc.subject(p;q)-Fibonacci numberstr_TR
dc.subject(p;q)-Fibonacci quaternionstr_TR
dc.titleA note on hyperbolic (p,q)-Fibonacci quaternionstr_TR
dc.typeArticletr_TR

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