Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 499, Pages 5–7
DOI: https://doi.org/10.31857/S2686954321040056 (Mi danma181) 		 
MATHEMATICS

Critical values of finite Blaschke products

V. N. Dubininab

a Far Eastern Federal University, Vladivostok, Russia
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
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DOI: https://doi.org/10.31857/S2686954321040056
Abstract: For finite Blaschke products $B$ of degree $n\ge2$, $B(0)=0$, $B'(0)\ne0$ a sharp upper bound for the least critical values and a sharp lower bound for the greatest critical values of these products are established. These estimates depend only on $n$ and $|B'(0)|$.
Keywords: rational functions, Blaschke products, critical values, Riemann surfaces, symmetrization, dissymmetrization.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00018
Ministry of Education and Science of the Russian Federation 075-02-2020-1482-1
This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00018) and by the Ministry of Education and Science of the Russian Federation (additional agreement of April 21, 2020, no. 075-02-2020-1482-1).
Received: 01.04.2021
Revised: 15.04.2021
Accepted: 17.06.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 163–164
DOI: https://doi.org/10.1134/S1064562421040050
Bibliographic databases:
Document Type: Article
UDC: 517.535
Language: Russian
Citation: V. N. Dubinin, “Critical values of finite Blaschke products”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 5–7; Dokl. Math., 104:1 (2021), 163–164
Citation in format AMSBIB
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