A New Approach to Jacobsthal Quaternions

Torunbalcı Aydın F., Yüce S.

FILOMAT, cilt.31, ss.5567-5579, 2017 (SCI-Expanded) identifier identifier

  • 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.