Padovan and Perrin hyperbolic spinors

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dc.contributor.authorIsbilir, Zehra
dc.contributor.authorKosal, Isil Arda
dc.contributor.authorTosun, Murat
dc.date.accessioned2025-10-11T20:48:38Z
dc.date.available2025-10-11T20:48:38Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, we intend to bring together Padovan and Perrin number sequences, which are one of the most popular third-order recurrence sequences, and hyperbolic spinors, which are used in several disciplines from physics to mathematics, with the help of the split quaternions. This paper especially improves the relationship between hyperbolic spinors, both a physical and mathematical concept, and number theory. For this aim, we combine the hyperbolic spinors and Padovan and Perrin numbers concerning the split Padovan and Perrin quaternions, and we determine two new special recurrence sequences named Padovan and Perrin hyperbolic spinors. Then, we give Binet formulas, generating functions, exponential generating functions, Poisson generating functions, and summation formulas. Additionally, we present some matrix and determinant equations with respect to them. Besides, we construct some special equations that give relations between Padovan and Perrin hyperbolic spinors and Padovan and Perrin numbers. Further, we give a short introduction for (s, t)-Padovan and (s, t)-Perrin hyperbolic spinors in order to shed light on future studies.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBITAK)en_US
dc.description.sponsorshipOpen access funding provided by the Scientific and Technological Research Council of Turkiye (TUBITAK).en_US
dc.identifier.doi10.1007/s40314-025-03225-8
dc.identifier.issn2238-3603
dc.identifier.issn1807-0302
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-105004416875en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1007/s40314-025-03225-8
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22029
dc.identifier.volume44en_US
dc.identifier.wosWOS:001485088500002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofComputational & Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectHyperbolic spinorsen_US
dc.subjectPadovan numbersen_US
dc.subjectPerrin numbersen_US
dc.subjectSplit Padovan quaternionsen_US
dc.subjectSplit Perrin quaternionsen_US
dc.titlePadovan and Perrin hyperbolic spinorsen_US
dc.typeArticleen_US

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