On the Mersenne and Mersenne-Lucas hybrid quaternions

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Atıf İçin Kopyala

Özkan E., Uysal M.

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer, 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 the Transilvania University of Brasov. Series III: Mathematics and Computer
• Derginin Tarandığı İndeksler: Scopus, Other Indexes
• Sayfa Sayıları: ss.139-148
• Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions.We give the Binet’s formula, the generating functions, exponential generat-ing functions and sum formula of these quaternions.  We find some relationsbetween Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions,Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions.