Estimates of the inner radii of non-overlapping domains

The paper is devoted to extremal problems of the geometric function theory of complex variable related with estimates of functionals defined on systems of non-overlapping domains. Till now, many such problems have not been solved, though some partial solutions are available. In the paper improved me...

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Збережено в:
Бібліографічні деталі
Дата:2019
Автор: Denega, I.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2019
Назва видання:Український математичний вісник
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/169431
Теги: Додати тег
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Estimates of the inner radii of non-overlapping domains / I. Denega // Український математичний вісник. — 2019. — Т. 16, № 1. — С. 46-56. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Резюме:The paper is devoted to extremal problems of the geometric function theory of complex variable related with estimates of functionals defined on systems of non-overlapping domains. Till now, many such problems have not been solved, though some partial solutions are available. In the paper improved method is proposed for solving problems on extremal decomposition of the complex plane. The main results of the paper generalize and strengthening some known results in the theory of non-overlapping domains with free poles to the case of an arbitrary arrangement of systems of points on the complex plane.