Cite this article as:

Gordienko V. ., Samsonova K. A. Determination of the Boundary in the Local Charzynski–Tammi Conjecture for the Fifth Coefficient. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 5-14. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-5-14

Language: 
Russian
Heading: 
Mathematics
UDC: 
517.54

Determination of the Boundary in the Local Charzynski–Tammi Conjecture for the Fifth Coefficient

Authors: 
Gordienko Valeriy Gennadievich, Saratov State University, Russia, Saratov, Astrakhanskaya 83 , valeriygor@mail.ru
Samsonova Kristina Aleksandrovna, Saratov State University, Russia, Saratov, Astrakhanskaya 83 , kris-ruzhik@mail.ru
Abstract: 
In this article we find the exact value ofM5 such that the symmetrized Pick function PM4(z) is an extreme in the local Charzynski–
Tammi conjecture for the fifth Taylor coefficient of the normalized holomorphic bounded univalent functions
Key words: 
L¨owner equation, optimum control, Pontryagin maxsimum principle.
DOI: 
https://doi.org/10.18500/1816-9791-2013-13-4-5-14
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