QUATERNIONS WHOSE COMPONENTS ARE BLAISE AND BLAISE-LUCAS NUMBERS
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Özet
In this paper, we introduce a new application of Blaise and Blaise-Lucas numbers. We define quaternions of the Blaise and Blaise-Lucas numbers. We calculate some important theorems; Cassini, Catalan, Vajda and d’Ocagne identities for quaternions of the Blaise and Blaise-Lucas numbers. We give the concepts of recurrence relation, characteristic equation, roots of the characteristic equation, Binet formula and generating function for these numbers. Finally, we give matrices representation of the Blaise and Blaise-Lucas Quaternions. © Palestine Polytechnic University-PPU 2026.
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https://rdlopen.rawdatalibrary.net/r/ebyu/10513Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Uysal, M. | |
| dc.contributor.author | Özkan, E. | |
| dc.contributor.author | Soykan, Y. | |
| dc.date.accessioned | 2026-10-18T20:25:43.031576471Z | |
| dc.date.available | 2026-10-18T20:25:43.031576471Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | In this paper, we introduce a new application of Blaise and Blaise-Lucas numbers. We define quaternions of the Blaise and Blaise-Lucas numbers. We calculate some important theorems; Cassini, Catalan, Vajda and d’Ocagne identities for quaternions of the Blaise and Blaise-Lucas numbers. We give the concepts of recurrence relation, characteristic equation, roots of the characteristic equation, Binet formula and generating function for these numbers. Finally, we give matrices representation of the Blaise and Blaise-Lucas Quaternions. © Palestine Polytechnic University-PPU 2026. | |
| dc.identifier.endpage | 394 | |
| dc.identifier.issn | 2219-5688 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-105032995615 | |
| dc.identifier.startpage | 378 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/ebyu/10513 | |
| dc.identifier.volume | 15 | |
| dc.language.iso | en | |
| dc.publisher | Palestine Polytechnic University | |
| dc.relation.ispartof | Palestine Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Binet formula | |
| dc.subject | Blaise numbers | |
| dc.subject | Generating functions | |
| dc.subject | Quaternion | |
| dc.title | QUATERNIONS WHOSE COMPONENTS ARE BLAISE AND BLAISE-LUCAS NUMBERS | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.scopus | 0 | |
| rdl.source.index | SCOPUS |