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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 392, Pages 67–73 (Mi znsl4578)

This article is cited in 3 papers

On the preservation of conformal capacity under meromorphic functions

V. N. Dubinin

Far Eastern Federal University, Vladivostok, Russia

Abstract: It is proved that a meromorphic function that preserves the capacity of a plane condenser is univalent in the field of the condenser.

Key words and phrases: conformal capacity, condenser, capacity of a condenser, meromorphic function.

UDC: 517.54

Received: 28.09.2011


 English version:
Journal of Mathematical Sciences (New York), 2012, 184:6, 699–702

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