N-radial systems of points and problems for non-overlapping domains


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Abstract

Paper is devoted to one classic problem of geometric function theory on extremal decomposition of the complex plane. We consider a problem of maximization of product of inner radii of n non-overlapping domains.

About the authors

A. Bakhtin

Department of Complex Analysis and Potential Theory

Author for correspondence.
Email: alexander.bahtin@yandex.ru
Ukraine, Tereschenkivska 3, Kiev-4, 01004

L. Vygivska

Department of Complex Analysis and Potential Theory

Email: alexander.bahtin@yandex.ru
Ukraine, Tereschenkivska 3, Kiev-4, 01004

I. Denega

Department of Complex Analysis and Potential Theory

Email: alexander.bahtin@yandex.ru
Ukraine, Tereschenkivska 3, Kiev-4, 01004


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