%0 Journal Article %T On the k-Generalized Fibonacci Numbers %A Nazmiye Y£¿lmaz %A Yasin Yazl£¿k %A Necati Ta£¿kara %J Sel£¿uk Journal of Applied Mathematics %D 2012 %I Sel?uk University %X 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. %K k-generalized Fibonacci numbers %K Sum %K Generating function. %U http://www.sumam.selcuk.edu.tr/13-1-9.html