On characteristic polynomial of higher order generalized Jacobsthal numbers

Abstract In this paper, we study a higher order generalization of the Jacobsthal sequence, namely, the (k,c) $(k,c)$-Jacobsthal sequence (Jn(k,c)) $(J^{(k,c)}_{n})$ for any integers n, k≥2 $k\geq 2$ and a real number c>0 $c>0$. In particular, we find information about roots of its characterist...

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Bibliographic Details
Main Authors: Diego Marques, Pavel Trojovský
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2327-6