On a generalization of the Levin-May Theorem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F14%3APU104932" target="_blank" >RIV/00216305:26210/14:PU104932 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On a generalization of the Levin-May Theorem
Original language description
The paper discusses a distribution of the zeros of a special three-term polynomial. This problem is of theoretic as well as practical importance which motivated S.A. Levin and R. May to formulate a necessary and sufficient condition guaranteing the location of all the zeros of this polynomial inside the unit circle. We give a simple alternate proof of their criterion and, as the main result, present a complete list of all possible zero distributions the polynomial with respect to this circle.
Czech name
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Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Carpathian Journal of Mathematics
ISSN
1584-2851
e-ISSN
1843-4401
Volume of the periodical
30
Issue of the periodical within the volume
1
Country of publishing house
RO - ROMANIA
Number of pages
8
Pages from-to
55-62
UT code for WoS article
000341281500008
EID of the result in the Scopus database
2-s2.0-84902198641