A New Approach to Jacobsthal Quaternions
FILOMAT, cilt.31, ss.5567-5579, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31
- Basım Tarihi: 2017
- Doi Numarası: 10.2298/fil1718567t
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.5567-5579
- Anahtar Kelimeler: Jacobsthal number, Jacobsthal-Lucas number, Jacobsthal quaternion, Jacobsthal-Lucas quaternion, COMPLEX FIBONACCI NUMBERS, DUAL QUATERNIONS, POLYNOMIALS
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
The Jacobsthal quaternions defined by Szynal-Liana and Wloch [35]. In this paper, we defined some properties of Jacobsthal quaternions. Also, we investigated the relations between the Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers. Furthermore, we gave the Binet formulas and Cassini identities for these quaternions.