Thesis Type: Postgraduate
Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2009
Thesis Language: Turkish
Student: Huriye AZMAN
Supervisor: DURSUN TAŞCI
Abstract:In this study, by describing properties characteristic of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas sequences; Binet formulas of these sequences are examined with the help of reccurence relations. Additionally, generating matrices of Fibonacci sequence are mentioned. Some identities about of Fibonacci and Lucas numbers are obtained. Some n×n matrices are given whose determinats obtain Fibonacci numbers. Five new classes of Fibonacci- Hessenberg matrices are introduced and the definition of two-dimensional Fibonacci arrays are given. Finally, linear equations are given whose solutions are Fibonacci fractions.