Extremal decomposition of the complex plane with free poles on the unit circle

This paper is an attempt to follow the path taken by the open problem of V.N. Dubinin on extremal decomposition of the complex plane with free poles on the unit circle. Currently, the problem is not completely solved. In this work, its partial solution for $n\geqslant40$ is obtained for the case of...

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Bibliographic Details
Date:2025
Main Authors: Denega, Iryna, Zabolotnyi, Yaroslav, Денега, Ірина, Заболотний, Ярослав
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2025
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/541
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine