On the Binomial Sums of k-Fibonacci and k -Lucas sequences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Conference object 01 Jan 2011 Turkey Publisher:AIPJournal:AIP Conference Proceedings (issn: 0094-243X,

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Authors: N. Yilmaz; N. Taskara; K. Uslu; Y. Yazlik; Theodore E. Simos; George Psihoyios; Ch. Tsitouras; +1 Authors

doi: 10.1063/1.3636734

handle: 20.500.12395/26691

On the Binomial Sums of k-Fibonacci and k -Lucas sequences

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Abstract

The main purpose of this paper is to establish some new properties of k‐Fibonacci and k‐Lucas numbers in terms of binomial sums. By that, we can obtain these special numbers in a new and direct way. Moreover, some connections between k‐Fibonacci and k‐Lucas numbers are revealed to get a more strong result.

Country

Turkey

Related Organizations

Selçuk University
Turkey

Keywords

binomial sums, k-Lucas numbers, k-Fibonacci numbers

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