A Generalization of Dual Bi-Periodic Fibonacci Quaternions
JOURNAL OF MATHEMATICAL EXTENSION, cilt.13, sa.1, ss.67-81, 2019 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 1
- Basım Tarihi: 2019
- Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.67-81
- Anahtar Kelimeler: Fibonacci sequence, bi-periodic Fibonacci sequence, quaternions, dual quaternions, dual Fibonacci quaternions, NUMBERS
- Ankara Üniversitesi Adresli: Evet
Özet
The purpose of the paper is to present a new generalization of the dual Fibonacci quaternions called the generalized dual bi-periodic Fibonacci quaternions. This new generalization allows us to state dual quaternion sequences as a unique sequence. Furthermore, we give the generating function, the Binet formula, the norm value of these dual quaternions, and some basic properties of them.