An extremal problem for the nonoverlapping domains


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Abstract

Sharp estimates of a product of the inner radii of pairwise disjoint domains are obtained. In particular, the extremal problem in the case of any finite number of free poles on a radial system of points is solved.

About the authors

Andrey Targonskii

Zhytomyr State University, Department of Mathematics

Author for correspondence.
Email: targonsk@mail.ru
Ukraine, Zhytomyr

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