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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 914–922 (Mi smj1754)  
This article is cited in 5 scientific papers (total in 5 papers)

Locally biholomorphic mappings of multiconnected domains

V. V. Starkov

Petrozavodsk State University
Full-text PDF (387 kB) Citations (5)
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Abstract: Sufficient conditions were found in [1, 2] for a domain in the complex plane to admit a finitely valent locally biholomorphic mapping of the whole plane. In this article we find the relevant necessary and sufficient conditions. Also, we answer the question that was posed by Aksent'ev and Ul'yanov in connection with the problem under consideration. The answer yields a lower bound for the valency while generalizing a result of [3] to polydisks.
Keywords: locally biholomorphic mapping, multivalent function, polydisk domain.
Received: 29.03.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 4, Pages 733–739
DOI: https://doi.org/10.1007/s11202-007-0074-5
Bibliographic databases:
Language: Russian
Citation: V. V. Starkov, “Locally biholomorphic mappings of multiconnected domains”, Sibirsk. Mat. Zh., 48:4 (2007), 914–922; Siberian Math. J., 48:4 (2007), 733–739
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
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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