The class of multivalent functions is an important one in complex analysis. They occur for example in the proof of De Branges' theorem which, in 1985, settled the long-standing Bieberbach conjecture. The second edition of Professor Hayman's celebrated book contains a full and self-contained proof of this result, with a chapter devoted to it. Ather chapter deals with coefficient differences. It has been updated in several other ways, with theorems of Baernstein and Pommerenke on univalent functions of restricted growth, and an account of the theory of mean p-valent functions. In addition, many of the original proofs have been simplified. Each chapter contains examples and exercises of varying degrees of difficulty designed both to test understanding and illustrate the material. Consequently it will be useful for graduate students, and essential for specialists in complex function theory.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521057671
ISBN-13
9780521057677
eBay Product ID (ePID)
96743411
Product Key Features
Author
w. K. Hayman
Format
Trade Paperback (US), Paperback
Language
English
Subject
Mathematics
Type
Textbook
Dimensions
Weight
454g
Height
228mm
Width
152mm
Additional Product Features
Place of Publication
Cambridge
Spine
12mm
Series Part/Volume Number
No. 110
Series Title
Cambridge Tracts in Mathematics
Content Note
5 B/w Illus. 70 Exercises
Date of Publication
26/12/2007
Edition Statement
2nd Revised Edition
Country of Publication
United Kingdom
Genre
Mathematics
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