On the preservation of conformal capacity under meromorphic functions

On the preservation of conformal capacity under meromorphic functions

It is proved that a meromorphic function that preserves the capacity of a plane condenser is univalent in the field of the condenser. Bibliography: 12 titles.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-08, Vol.184 (6), p.699-702
1. Verfasser: Dubinin, V. N.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:It is proved that a meromorphic function that preserves the capacity of a plane condenser is univalent in the field of the condenser. Bibliography: 12 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-0891-3