Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion

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dc.authorscopusid24485340700en_US
dc.authorscopusid58666973900en_US
dc.contributor.authorÖzkoç, Öztürk, A.
dc.contributor.authorGündüz, E.
dc.date.accessioned2024-08-23T16:07:28Z
dc.date.available2024-08-23T16:07:28Z
dc.date.issued2022en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe main object of the study is to consider the binomial transform for quadra Fibona-Pell sequence and quadra Fibona-Pell quaternion. In the paper, which consists of two parts in terms of the results found, the first step was taken for the sequence by defining the binomial transform for the quadra Fibona-Pell sequence in the first part and then finding the recurrence relation of this new binomial transform. Then, the Binet formula, generating function and various sum formulas of the sequence were found. In the second part, the binomial transform is applied for the quadra Fibona-Pell quaternion, which was discussed in a thesis before. Similar results in the first section are covered in the quaternion binomial transform. © 2022, Emrah Evren KARA. All rights reserved.en_US
dc.identifier.doi10.32323/ujma.1207852
dc.identifier.endpage155en_US
dc.identifier.issn2619-9653
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85175008227en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage145en_US
dc.identifier.urihttps://doi.org/10.32323/ujma.1207852
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14655
dc.identifier.volume5en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherEmrah Evren KARAen_US
dc.relation.ispartofUniversal Journal of Mathematics and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBinomial transformen_US
dc.subjectFibonacci sequenceen_US
dc.subjectPell sequenceen_US
dc.subjectQuaternionen_US
dc.titleBinomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternionen_US
dc.typeArticleen_US

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