On the Location of Roots of the Characteristic Polynomial of (p, q)-Distance Fibonacci Sequences

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F22%3A50019752" target="_blank" >RIV/62690094:18470/22:50019752 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00574-022-00301-z" target="_blank" >https://link.springer.com/article/10.1007/s00574-022-00301-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00574-022-00301-z" target="_blank" >10.1007/s00574-022-00301-z</a>

Result language
angličtina
Original language name
On the Location of Roots of the Characteristic Polynomial of (p, q)-Distance Fibonacci Sequences
Original language description
Let p, q, k and ℓ be positive integers. The (p, q, k, ℓ) -Fibonacci sequence (Fk,ℓ,p,q)n≥0 is the four-parameter sequence defined by the following recurrence Fk,ℓ,p,q(n)=kFk,ℓ,p,q(n-p)+ℓFk,ℓ,p,q(n-q),with appropriate initial conditions. In this paper, we study the geometric, algebraic, and analytic aspects of the roots of the characteristic polynomial of this sequence, namely, f(x) = xq- kxq-p- ℓ.
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
—
OECD FORD branch
10101 - Pure mathematics

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

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Bulletin of the Brazilian Mathematical Society, New Series
ISSN
1678-7544
e-ISSN
1678-7714
Volume of the periodical
53
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
1231-1244
UT code for WoS article
000814458500001
EID of the result in the Scopus database
2-s2.0-85132426054

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