The study of univalent functions dates back to the early years of
the 20th century, and is one of the most popular research areas in
complex analysis. This book is directed at introducing and bringing
up to date current research in the area of univalent functions,
with an emphasis on the important subclasses, thus providing an
accessible resource suitable for both beginning and experienced
researchers. Contents Univalent Functions - the Elementary Theory
Definitions of Major Subclasses Fundamental Lemmas Starlike and
Convex Functions Starlike and Convex Functions of Order Strongly
Starlike and Convex Functions Alpha-Convex Functions Gamma-Starlike
Functions Close-to-Convex Functions Bazilevic Functions B1( )
Bazilevic Functions The Class U( ) Convolutions Meromorphic
Univalent Functions Loewner Theory Other Topics Open Problems
General
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