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Branching points area theorems for univalent functions
Author(s):
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
Posted:
January 24, 2007
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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.
References:
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- 1.
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Additional Information:
S.
Shimorin
Affiliation:
Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
Email:
shimorin@math.kth.se
DOI:
10.1090/S1061-0022-07-00947-8
PII:
S 1061-0022(07)00947-8
Keywords:
Univalent functions,
branching point,
area theorems
Received by editor(s):
10/OCT/2005
Posted:
January 24, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
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