ON FIBONACCI AND LUCAS ELLIPTIC QUATERNIONS

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TAN E., Yaman T., GÖK İ.

JOURNAL OF SCIENCE AND ARTS, sa.1, ss.31-44, 2025 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2025
• Doi Numarası: 10.46939/j.sci.arts-25.1-a04
• Dergi Adı: JOURNAL OF SCIENCE AND ARTS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.31-44
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Ankara Üniversitesi Adresli: Evet

Özet

This paper presents a novel class of quaternions derived from the concept of elliptic quaternions. Specifically, we establish the Fibonacci and Lucas elliptic quaternions, serving as a natural extension of the Fibonacci and Lucas quaternions. Our study delves into the fundamental properties of these sequences, including recurrence relations, generating functions, Binet-like formulas, and Vajda's identity. We additionally establish relations involving both Fibonacci and Lucas elliptic quaternions.