Title of article :
On the k-Generalized Fibonacci Numbers
Author/Authors :
Yılmaz, Nazmiye Selcuk University - Science Faculty - Department of Mathematics, Turkiye , Yazlık, Yasin Selcuk University - Science Faculty - Department of Mathematics, Turkiye , Taskara, Necati Selcuk University - Science Faculty - Department of Mathematics, Turkey
Abstract :
In this paper, we define a new family of k-generalized Fibonacci numbers. Furthermore, we give sums and recurrence relations of this numbers and obtain generating functions of this numbers for k = 2.
Keywords :
k , generalized Fibonacci numbers , Sum , Generating function
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics