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ON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONS

ArticleAçık Erişim

Özet

In this paper, we introduce Mersenne and Mersenne-Lucas hybrinomial quaternions and present some of their properties. Some identities are derived for these polynomials. Furthermore, we give the Binet formulas, Catalan, Cassini, d’Ocagne identity and generating and exponential generating function of these hybrinomial quaternions. © 2023, Transilvania University of Brasov 1. All rights reserved.

Anahtar Kelimeler

hybrinomialMersenne polynomialsMersenne sequenceMersenne-Lucas sequencequaternions
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AlanDeğerDil
dc.contributor.authorEser, Engin
dc.contributor.authorKuloğlu, Bahar
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:27:17.014629635Z
dc.date.available2026-10-18T20:27:17.014629635Z
dc.date.issued2023
dc.description.abstractIn this paper, we introduce Mersenne and Mersenne-Lucas hybrinomial quaternions and present some of their properties. Some identities are derived for these polynomials. Furthermore, we give the Binet formulas, Catalan, Cassini, d’Ocagne identity and generating and exponential generating function of these hybrinomial quaternions. © 2023, Transilvania University of Brasov 1. All rights reserved.
dc.identifier.doi10.31926/but.mif.2023.3.65.1.10
dc.identifier.endpage144
dc.identifier.issn2810-2029
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85164198162
dc.identifier.startpage129
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12375
dc.identifier.volume3
dc.language.isoen
dc.publisherTransilvania University of Brasov 1
dc.relation.ispartofBulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjecthybrinomial
dc.subjectMersenne polynomials
dc.subjectMersenne sequence
dc.subjectMersenne-Lucas sequence
dc.subjectquaternions
dc.titleON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONS
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus5
rdl.oa.statusopen
rdl.source.indexSCOPUS