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Algebra i Analiz, 2006 Volume 18, Issue 1, Pages 187–240 (Mi aa65)
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Research Papers

Branching points area theorems for univalent functions

S. Shimorin

Department of Mathematics, Royal Institute of Technology, Stockholm

Abstract: Area theorems of a new type are obtained by considering branching point compositions with univalent functions. Such theorems can be formulated both in the form of integral estimates and in the form of Grunsky and Goluzin-type inequalities.

MSC: 30C50

Received: 10.10.2005

Language: English


 English version: St. Petersburg Mathematical Journal, 2007, 18:1, 141–181

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