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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 40–46 (Mi smj1935)  
Finitely valent locally biholomorphic mappings of multiconnected domains onto the plane

S. Yu. Grafa, V. V. Starkovb

a Tver State University, Department of Mathematics
b Petrozavodsk State University, Faculty of Mathematics
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Abstract: We give a final solution to the problem of the possibility of a finitely valent locally biholomorphic mapping from an arbitrary multiconnected domain on a complex plane onto the entire complex plane with the indication of the least valency constant.
Keywords: locally biholomorphic mapping, multiconnected domain, Poincaré's Theorem.
Received: 19.10.2007
Revised: 20.02.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 1, Pages 32–36
DOI: https://doi.org/10.1007/s11202-009-0004-9
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: S. Yu. Graf, V. V. Starkov, “Finitely valent locally biholomorphic mappings of multiconnected domains onto the plane”, Sibirsk. Mat. Zh., 50:1 (2009), 40–46; Siberian Math. J., 50:1 (2009), 32–36
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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