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Dal'nevostochnyi Matematicheskii Zhurnal, 2021, Volume 21, Number 2, Pages 133–150
DOI: https://doi.org/10.47910/FEMJ202112 (Mi dvmg453) 		 
The Fekete-Szego problem by a variational method

Ya. V. Borisova, I. A. Kolesnikov, S. A. Kopanev, G. D. Sadritdinova

Tomsk State University
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DOI: https://doi.org/10.47910/FEMJ202112
Abstract: The article is devoted to the well-known Fekete and Szego problem. The paper investigate the problem in sufficient detail using some new observations by the classical method of internal variations, developed at the Tomsk School of Complex Analysis. One particular case is considered. We carried out complete qualitative analysis of the functional-differential equation relative boundary mapping. We completely solved the problem for the real parameter.
Key words: extremal problem, variational method, Fekete and Szego problem, functional.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
Received: 13.06.2021
Document Type: Article
UDC: 517.53
MSC: 30C70
Language: Russian
Citation: Ya. V. Borisova, I. A. Kolesnikov, S. A. Kopanev, G. D. Sadritdinova, “The Fekete-Szego problem by a variational method”, Dal'nevost. Mat. Zh., 21:2 (2021), 133–150
Citation in format AMSBIB
\Bibitem{BorKolKop21}
\by Ya.~V.~Borisova, I.~A.~Kolesnikov, S.~A.~Kopanev, G.~D.~Sadritdinova
\paper The Fekete-Szego problem by a variational method
\jour Dal'nevost. Mat. Zh.
\yr 2021
\vol 21
\issue 2
\pages 133--150
\mathnet{http://mi.mathnet.ru/dvmg453}
\crossref{https://doi.org/10.47910/FEMJ202112}
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