GENERALIZED ORDER-k FIBONACCI AND LUCAS FUNCTIONS


KILIÇ E., TAŞCI D.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.38, no.6, pp.1991-2007, 2008 (SCI-Expanded) identifier identifier

Abstract

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.