Balancing polynomials and their derivatives

We study the generalization of balancing numbers with a new sequence of numbers called $k$-balancing numbers. Moreover, by using the Binet formula for $k$-balancing numbers, we obtain the identities including the generating function of these numbers. In addition, the properties of divisibility of th...

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Bibliographic Details
Date:2017
Main Authors: Ray, P. K., Раі, П. К.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1715
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal