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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 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

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.

UDC: 517.54

Received: 19.10.2007
Revised: 20.02.2008


 English version:
Siberian Mathematical Journal, 2009, 50:1, 32–36

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© Steklov Math. Inst. of RAS, 2024