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Sbornik: Mathematics, 2016, Volume 207, Issue 9, Pages 1335–1343
DOI: https://doi.org/10.1070/SM8665 (Mi sm8665) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Removable singularities of holomorphic functions

E. M. Chirka

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (432 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM8665
Abstract: Several sufficient conditions for the removability of singular sets with area zero are obtained for holomorphic functions in plane domains and on Riemann surfaces, under certain metric and topological assumptions about cluster sets of these functions and the limit sets of their graphs.
Bibliography: 14 titles.
Keywords: analytic set, analytic extension, removable singularities.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation (grant no.~14-50-00005).
Received: 26.01.2016 and 29.06.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 9, Pages 161–170
DOI: https://doi.org/10.4213/sm8665
Bibliographic databases:
Document Type: Article
UDC: 517.53+517.545
MSC: 30D40, 30E99
Language: English
Original paper language: Russian
Citation: E. M. Chirka, “Removable singularities of holomorphic functions”, Mat. Sb., 207:9 (2016), 161–170; Sb. Math., 207:9 (2016), 1335–1343
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:501
    Russian version PDF:101
    English version PDF:12
    References:68
    First page:37
     
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