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On characteristic polynomial of higher order generalized Jacobsthal numbers

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dc.rights.license CC BY eng
dc.contributor.author Marques, Diego cze
dc.contributor.author Trojovský, Pavel cze
dc.date.accessioned 2020-06-07T20:51:49Z
dc.date.available 2020-06-07T20:51:49Z
dc.date.issued 2019 eng
dc.identifier.issn 1687-1847 eng
dc.identifier.uri http://hdl.handle.net/20.500.12603/340
dc.description.abstract 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. eng
dc.format p. "Article Number: 392" eng
dc.language.iso eng eng
dc.publisher Springer eng
dc.relation.ispartof Advances in difference equations, volume 2019, issue: 1 eng
dc.subject Linear recurrence sequence eng
dc.subject Jacobsthal sequence eng
dc.subject Generalized Jacobsthal sequence eng
dc.subject Computation eng
dc.subject Polynomial eng
dc.subject Matrix theory eng
dc.subject Digraph. eng
dc.subject Lineární rekurence cze
dc.subject Jacobsthalova posloupnost cze
dc.subject zobecněná Jacobsthalova posloupnost cze
dc.subject polynomy cze
dc.subject teorie matic cze
dc.subject orientované grafy. cze
dc.title On characteristic polynomial of higher order generalized Jacobsthal numbers eng
dc.title.alternative O charakteristickém polynomu Jacobsthalových čísel vyššího řádu cze
dc.type article eng
dc.identifier.obd 43875714 eng
dc.identifier.doi 10.1186/s13662-019-2327-6 eng
dc.description.abstract-translated V tomto článku studujeme zobecnění Jacobsthalovy posloupnosti vyššího řádu, konkrétně (k, c) - Jacobsthalovu posloupnost (Jn (k, c)) pro všechna celá čísla n, k> = 2. Zjistíme zejména informace o kořenech jeho charakteristického polynomu. Za tímto účelem kombinujeme některé silné nástroje, jako je Mardenova metoda, věta Perronova-Frobeniusova a věta Enestromova-Kakeyava. cze
dc.publicationstatus postprint eng
dc.peerreviewed yes eng
dc.source.url https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2327-6 cze
dc.relation.publisherversion https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-2327-6 eng
dc.rights.access Open Access eng


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