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On The Horadam Hybrid Quaternions

2020/12/15 by Ali Dağdeviren, Dağdeviren, Ali, Ferhat Kürüz +1
Mathematics · Physics and Astronomy · #11B37 (Primary) #11B39 (Secondary) #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.NT #msc:11B37 #msc:11B39

paper · pdf · doi:10.48550/arxiv.2012.08277

10 pages

arxiv created 2020/12/15 · openalex publication_date 2020/12/15 · arxiv updated 2020/12/16 · openalex created_date 2020/12/21 · openalex updated_date 2026/07/28

Abstract

In this paper, we define the Horadam hybrid quaternions and give some of their properties. Moreover, we investigate the relations between the Fibonacci hybrid quaternions and the Lucas hybrid quaternions which connected the Fibonacci quternions and Lucas quaternions. Furthermore, we give the Binet formulas and Cassini identities for these quaternions.

Citations

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