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

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.

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Bibliographic Details
Main Authors: Engin Özkan, İpek Altun, Ali Aykut Göçer
Format: บทความวารสาร
Language:English
Published: Science Faculty of Chiang Mai University 2019
Online Access:http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=8500
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63986
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Institution: Chiang Mai University
Language: English
Description
Summary: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.