Chiang Mai Journal of Science

On Relationship Among A New Family Of k-Fibonacci, k-Lucas Numbers, Fibonacci And Lucas Numbers

Paper Type	Contributed Paper
Title	On Relationship Among A New Family Of k-Fibonacci, k-Lucas Numbers, Fibonacci And Lucas Numbers
Author	Engin Özkan*, İpek Altun and Ali Aykut Göçer
Email	eozkan@erzincan.edu.tr
Abstract:  We prove some theorems concerning a family of Fibonacci numbers defined  in [11]. We give some relationship between the family of Fibonacci and Lucas numbers. Then we define a new family of k-Lucas numbers and prove some properties of it related to the Lucas numbers and the family of Lucas numbers.
Start & End Page	1744 - 1750
Received Date	2015-05-04
Revised Date
Accepted Date	2016-10-18
Full Text	Download
Keyword	Recurrance Relation, Fibonacci Numbers, Generalized Fibonacci Numbers, Period, Lucas Numbers
Volume	Vol.44 No.4 (October 2017)
DOI
Citation	Özkan E., Altun �. and Göçer A.A., On Relationship Among A New Family Of k-Fibonacci, k-Lucas Numbers, Fibonacci And Lucas Numbers, Chiang Mai J. Sci., 2017; 44(4): 1744-1750.
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