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.
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References
Ligocka E., “On locally biholomorphic surjective mappings,” Ann. Polon. Math., 82, No. 2, 127–135 (2003).
Liczberski P. and Starkov V. V., “On locally biholomorphic mappings from multi-connected onto simply connected domains,” Ann. Polon. Math., 85, No. 2, 135–143 (2005).
Starkov V. V., “Locally biholomorphic mappings of multiconnected domains,” Siberian Math. J., 48, No. 4, 733–739 (2007).
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Original Russian Text Copyright © 2009 Graf S. Yu. and Starkov V. V.
The authors were partially supported by the Russian Foundation for Basic Research (Grant 08-01-00648-a).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 1, pp. 40–47, January–February, 2009.
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Graf, S.Y., Starkov, V.V. Finitely valent locally biholomorphic mappings of multiconnected domains onto the plane. Sib Math J 50, 32–36 (2009). https://doi.org/10.1007/s11202-009-0004-9
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DOI: https://doi.org/10.1007/s11202-009-0004-9