A New Approach To Fibonacci, Lucas Numbers and Dual Vectors
Advances in Applied Clifford Algebras, vol.25, no.3, pp.577-590, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 3
- Publication Date: 2015
- Doi Number: 10.1007/s00006-014-0516-7
- Journal Name: Advances in Applied Clifford Algebras
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.577-590
- Keywords: Fibonacci number, dual Fibonacci number, dual Fibonacci vector
- Uşak University Affiliated: Yes
Abstract
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.