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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)



Branching points area theorems for univalent functions

Author: S. Shimorin
Original publication: Algebra i Analiz, tom 18 (2006), nomer 1.
Journal: St. Petersburg Math. J. 18 (2007), 141-181
MSC (2000): Primary 30C50
Published electronically: January 24, 2007
MathSciNet review: 2225218
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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.

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Additional Information

S. Shimorin
Affiliation: Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden

Keywords: Univalent functions, branching point, area theorems
Received by editor(s): October 10, 2005
Published electronically: January 24, 2007
Article copyright: © Copyright 2007 American Mathematical Society

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