A New Approach To Fibonacci, Lucas Numbers and Dual Vectors

Güven İ. A., Nurkan S.

Advances in Applied Clifford Algebras, cilt.25, sa.3, ss.577-590, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00006-014-0516-7
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.577-590
  • Anahtar Kelimeler: dual Fibonacci number, dual Fibonacci vector, Fibonacci number
  • Uşak Üniversitesi Adresli: Evet

Özet

Dual Fibonacci and dual Lucas numbers are defined with dual Fibonacci and Lucas quaternions in Nurkan and G¨uven [18]. In this study, we work on these dual Fibonacci and dual Lucas numbers. We obtain the properties e.g. D’ocagnes, Cassini, Catalan, negadual Fibonacci identities, Binet formulas and relations of them. We also define new vectors which are called dual Fibonacci vectors. We give properties of these vectors to exert in geometry of dual space.