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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 4(1), Pages 5–14
DOI: https://doi.org/10.18500/1816-9791-2013-13-4-5-14 (Mi isu442) 		 
Mathematics

Determination of the boundary in the local Charzynski–Tammi conjecture for the fifth coefficient

V. G. Gordienko, K. A. Samsonova

Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
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DOI: https://doi.org/10.18500/1816-9791-2013-13-4-5-14
Abstract: In this article we find the exact value of $M_5$ such that the symmetrized Pick function $P_{M4}(z)$ is an extreme in the local Charzynski–Tammi conjecture for the fifth Taylor coefficient of the normalized holomorphic bounded univalent functions.
Key words: Löwner equation, optimum control, Pontryagin maxsimum principle.
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. G. Gordienko, K. A. Samsonova, “Determination of the boundary in the local Charzynski–Tammi conjecture for the fifth coefficient”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(1) (2013), 5–14
Citation in format AMSBIB
\Bibitem{GorSam13}
\by V.~G.~Gordienko, K.~A.~Samsonova
\paper Determination of the boundary in the local Charzynski--Tammi conjecture for the fifth coefficient
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 4(1)
\pages 5--14
\mathnet{http://mi.mathnet.ru/isu442}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-4-5-14}
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