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ON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONSEser, EnginKuloğlu, BaharÖzkan, EnginhybrinomialMersenne polynomialsMersenne sequenceMersenne-Lucas sequencequaternionsIn 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.Transilvania University of Brasov 12023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12375https://doi.org/10.31926/but.mif.2023.3.65.1.102810-2029enBulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Scienceinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12375