ON THE QUADRA MERSENNE-JACOBSTHAL, QUADRA MERSENNE-PELL AND RELATED QUATERNION SEQUENCES

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ÖZKAN KIZILIRMAK G., Cakaci S.

JOURNAL OF SCIENCE AND ARTS, sa.1, ss.5-16, 2024 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2024
• Doi Numarası: 10.46939/j.sci.arts-24.1-a01
• Dergi Adı: JOURNAL OF SCIENCE AND ARTS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.5-16
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Gazi Üniversitesi Adresli: Evet

Özet

The aim of this paper is primarily to introduce the quadra MersenneJacobsthal and quadra Mersenne-Pell sequences. Then, the Binet formulas and generating functions for these sequences are obtained. Moreover, quadra Mersenne-Jacobsthal and quadra Mersenne-Pell quaternions were defined and Binet formulas, generating functions, some quaternion sums and relations were obtained for these quaternions.