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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| Published in: | Український математичний вісник |
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| Date: | 2019 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169431 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Denega, I. 2020-06-13T08:22:07Z 2020-06-13T08:22:07Z 2019 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. 1810-3200 2010 MSC. 30C75 https://nasplib.isofts.kiev.ua/handle/123456789/169431 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. The author thanks the Prof. Alexander Bakhtin for posing problems, careful analysis of this work and remarks. en Інститут прикладної математики і механіки НАН України Український математичний вісник Estimates of the inner radii of non-overlapping domains Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Estimates of the inner radii of non-overlapping domains |
| spellingShingle |
Estimates of the inner radii of non-overlapping domains Denega, I. |
| title_short |
Estimates of the inner radii of non-overlapping domains |
| title_full |
Estimates of the inner radii of non-overlapping domains |
| title_fullStr |
Estimates of the inner radii of non-overlapping domains |
| title_full_unstemmed |
Estimates of the inner radii of non-overlapping domains |
| title_sort |
estimates of the inner radii of non-overlapping domains |
| author |
Denega, I. |
| author_facet |
Denega, I. |
| publishDate |
2019 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/169431 |
| citation_txt |
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. |
| work_keys_str_mv |
AT denegai estimatesoftheinnerradiiofnonoverlappingdomains |
| first_indexed |
2025-11-30T09:18:12Z |
| last_indexed |
2025-11-30T09:18:12Z |
| _version_ |
1850857088591331328 |