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On the One Extremal Problem with the Free Poles on the Unit circle

Targonskii A. L. (2016) On the One Extremal Problem with the Free Poles on the Unit circle. International Journal of Advanced Research in Mathematics. № 6. pp. 26-31. ISSN 2297-6213.

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Abstract

The sharp estimates of the product of the inner radius for pairwise disjoint domains are
obtained. In particular, we solve an extremal problem in the case of an arbitrary finite number of the
free poles on the unit circle for the following functional

Item Type: Article
Uncontrolled Keywords: inner radius of domain, quadratic differential, piecewise-separating transformation, Green function, radial systems of points, logarithmic capacity, variational formula
Subjects: Q Science > QA Mathematics > QA77 Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 19 Jul 2017 15:04
Last Modified: 19 Jul 2017 15:04
URI: https://eprints.zu.edu.ua/id/eprint/25118
ДСТУ 8302:2015: Targonskii A. L. On the One Extremal Problem with the Free Poles on the Unit circle. International Journal of Advanced Research in Mathematics. 2016. № 6. pp. 26-31.

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