ALGEBRAIC PROPERTIES OF BI-PERIODIC DUAL FIBONACCI QUATERNIONS
KRAGUJEVAC JOURNAL OF MATHEMATICS, cilt.43, sa.1, ss.99-107, 2019 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 1
- Basım Tarihi: 2019
- Dergi Adı: KRAGUJEVAC JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.99-107
- Anahtar Kelimeler: Dual Fibonacci quaternions, bi-periodic Fibonacci quaternions, bi-periodic dual Fibonacci quaternions, NUMBERS
- Ankara Üniversitesi Adresli: Evet
Özet
The purpose of the paper is to construct a new representation of dual quaternions called bi-periodic dual Fibonacci quaternions. These quaternions are originated as a generalization of the known quaternions in literature such as dual Fibonacci quaternions, dual Pell quaternions and dual k-Fibonacci quaternions. Moreover, some of them have not been introduced until now. Finally, we calculate the generating function, Binet formula and Catalan's identity of the bi-periodic dual Fibonacci quaternions.