Екстремальне розбиття комплексної площини з вільними полюсами на одиничному колі

Iryna Denega; Yaroslav Zabolotnyi

doi:10.3842/trim.v21n1.541

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

Authors

Iryna Denega Institute of Mathematics of the National Academy of Sciences of Ukraine https://orcid.org/0000-0001-8122-4257
Yaroslav Zabolotnyi Institute of Mathematics of the National Academy of Sciences of Ukraine https://orcid.org/0000-0002-1878-2077

DOI:

https://doi.org/10.3842/trim.v21n1.541

Abstract

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 simply connected domains.

Актуальні проблеми сучасної математики: методи, моделі та застосування

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Published

2025-08-18

How to Cite

Denega, I., & Zabolotnyi, Y. (2025). Extremal decomposition of the complex plane with free poles on the unit circle. Transactions of Institute of Mathematics, the NAS of Ukraine, 21(1), 71–81. https://doi.org/10.3842/trim.v21n1.541