Dual Fibonacci Quaternions

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Nurkan S., Güven İ. A.

Advances in Applied Clifford Algebras, cilt.25, sa.2, ss.403-414, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00006-014-0488-7
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.403-414
  • Anahtar Kelimeler: dual Fibonacci quaternion, dual Lucas quaternion, Fibonacci quaternion
  • Uşak Üniversitesi Adresli: Evet

Özet

In this study, we define the dual Fibonacci quaternion and the dual Lucas quaternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.