ON FIBONACCI AND LUCAS ELLIPTIC QUATERNIONS
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.