A generalized quaternionic sequence with Vietoris' number components

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dc.authoridSaçlı (Şentürk), Gülsüm Yeliz/0000-0002-8647-1801
dc.contributor.authorSenturk, Gulsum Yeliz
dc.date.accessioned2024-09-11T19:52:50Z
dc.date.available2024-09-11T19:52:50Z
dc.date.issued2023
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractIn this investigation, the aim is to determine a generalized quaternionic sequence with Vietoris' number components depending on 2-parameters & alpha; and 13. Considering specific real values & alpha; and 13, various types of classical quaternionic sequence with Vietoris' number components can be obtained as real, split, split-semi and so on. The fundamental algebraic structures, several classical expressions, a two and three term recurrence relations are identified, as well as Catalan-like, generating function and Binet-like formulas. Furthermore, a determinantal approach is used to generate the generalized quaternionic sequence with Vietoris' number components.en_US
dc.identifier.doi10.2298/FIL2328753S
dc.identifier.endpage9768en_US
dc.identifier.issn0354-5180
dc.identifier.issue28en_US
dc.identifier.scopus2-s2.0-85168972672en_US
dc.identifier.startpage9753en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2328753S
dc.identifier.urihttps://hdl.handle.net/11363/8034
dc.identifier.volume37en_US
dc.identifier.wosWOS:001052795700001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectVietoris' number sequenceen_US
dc.subjectgeneralized quaternionen_US
dc.subjectrecurrence relationen_US
dc.subjectCatalan's identityen_US
dc.subjectgenerating functionen_US
dc.subjectBinet's formulaen_US
dc.titleA generalized quaternionic sequence with Vietoris' number componentsen_US
dc.typeArticleen_US

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