Incomplete fibonaccı ve lucas p - numbers


Thesis Type: Doctorate

Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2011

Student: MİRAÇ ÇETİN FİRENGİZ

Supervisor: DURSUN TAŞCI

Abstract:

In this study, the incomplete Fibonacci p- numbers like the incomplete generalized Fibonacci numbers f (k ) n,m were defined. Also using the Lucas p - numbers, the incomplete Lucas p - numbers were defined. Then some properties and the generating functions of these numbers were obtained.Similar to using the combinatorial sums of Pell and Pell-Lucas p - numbers, the incomplete Pell and Pell-Lucas p - numbers were defined and the some properties of these numbers were obtained. At the end of study, the generating functions of the incomplete Pell and Pell-Lucas p - numbers were obtained