On characteristic polynomial of higher order generalized Jacobsthal numbers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F19%3A50016104" target="_blank" >RIV/62690094:18470/19:50016104 - isvavai.cz</a>
Result on the web
<a href="https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2327-6" target="_blank" >https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2327-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/s13662-019-2327-6" target="_blank" >10.1186/s13662-019-2327-6</a>

Result language
angličtina
Original language name
On characteristic polynomial of higher order generalized Jacobsthal numbers
Original language description
In this paper, we study a higher order generalization of the Jacobsthal sequence, namely, the (k,c)}-Jacobsthal sequence (Jn(k,c)) for any integers n, k >= 2. In particular, we find information about roots of its characteristic polynomial. For that purpose, we combine some powerful tools such as Marden's method, the Perron-Frobenius theorem, and the Enestrom-Kakeya theorem.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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