GENERALIZED ORDER-k FIBONACCI AND LUCAS FUNCTIONS

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KILIÇ E., TAŞCI D.

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

• Publication Type: Article / Article
• Volume: 38 Issue: 6
• Publication Date: 2008
• Doi Number: 10.1216/rmj-2008-38-6-1991
• Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1991-2007
• Gazi University Affiliated: Yes

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.