On the Mersenne and Mersenne-Lucas hybrid quaternions

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Ozkan E., Uysal M.

Bulletin of theTransilvaniaUniversity of Bra ̧sovSeries III: Mathematics and Computer Science,, cilt.4, sa.66, ss.139-148, 2024 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 4 Sayı: 66
• Basım Tarihi: 2024
• Doi Numarası: 10.31926/but.mif.2024.4.66.1.10
• Dergi Adı: Bulletin of theTransilvaniaUniversity of Bra ̧sovSeries III: Mathematics and Computer Science,
• Derginin Tarandığı İndeksler: Scopus
• Sayfa Sayıları: ss.139-148
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Marmara Üniversitesi Adresli: Evet

Özet

In 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.