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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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 > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 19 Jul 2017 12:04
Last Modified: 19 Jul 2017 12:04
URI: http://eprints.zu.edu.ua/id/eprint/25118

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