On the one extremal problem on the Riemann sphere

Targonskii, A. L. and Targonskaya, I. (2016) On the one extremal problem on the Riemann sphere. International Journal of Advanced Research in Mathematics (4). pp. 1-7. ISSN 2297-6213

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Abstract

Sharp estimates of product of inner radii for pairwise disjoint domains are obtained. In particular, we solve an extremal problem in the case of arbitrary finite number of rays containing arbitrary even number of free poles

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: 23 Mar 2016 07:27
Last Modified: 10 Oct 2016 08:44
URI: http://eprints.zu.edu.ua/id/eprint/20629

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