Research Information System
Thesis Type: Doctorate
Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2017
Student: GÜL ÖZKAN KIZILIRMAK
Supervisor: DURSUN TAŞCI
Abstract:In this thesis study, Pisano period for k-Lucas sequence and properties related to this period are given. Also periods of k-Fibonacci and k-Lucas sequences according to mode 2^n were investigated. Later, periods of these sequences were studied accoording to prime mode. Finally, periods of the bi-periodic Fibonacci and bi-periodic Lucas sequences were defined and the relationship between the properties and modes of the periods according to the prime and prime power modes were given.