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ON THE MERSENNE AND MERSENNE-LUCAS HYBRID QUATERNIONSÖzkan, EnginUysal, MineMersenne hybrid quaternionMersenne numbersMersenne-Lucas hybrid quaternionMersenne-Lucas numbersIn this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions. We find some relations between Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions, Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions. © 2024, Transilvania University of Brasov 1. All rights reserved.Transilvania University of Brasov 12024Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/11711https://doi.org/10.31926/but.mif.2024.4.66.1.102810-2029enBulletin 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/11711