Jacobsthal-Lucas series and their applications

In this paper we study the properties of positive series such that its terms are reciprocals of the elements of Jacobsthal-Lucas sequence (\(J_{n+2}=2J_{n+1}+J_n\), \(J_1=2\), \(J_2=1\)). In particular, we consider the properties of the set of incomplete sums as well as their applications. We prove...

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Bibliographic Details
Date:2017
Main Authors: Pratsiovytyi, Mykola, Karvatsky, Dmitriy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2017
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/297
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics