GENERALIZED ORDER-k FIBONACCI AND LUCAS FUNCTIONS


KILIÇ E., TAŞCI D.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.38, sa.6, ss.1991-2007, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 6
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1216/rmj-2008-38-6-1991
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1991-2007

Özet

In this paper, we consider the usual Lucas numbers and the generalized order-k Fibonacci numbers. Then we give a new definition for generalization of the Lucas numbers. Therefore, we give the generalized order-k Fibonacci and Lucas functions. Further, we derive new relationships between these functions.