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Multivalent Functions

Multivalent Functions

Paperback

Series: Cambridge Tracts in Mathematics, Book 110

CalculusGeneral MathematicsGeometry

ISBN10: 0521057671
ISBN13: 9780521057677
Publisher: Cambridge University Press
Published: Jan 28 2008
Pages: 276
Weight: 0.90
Height: 0.62 Width: 6.00 Depth: 9.00
Language: English
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 new chapter devoted to it. Another new chapter deals with coefficient differences. The text has been updated in several other ways, with recent 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.

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