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Multivalent Functions

Name: Multivalent Functions
Brand: Cambridge University Press
SKU: 02020157
Price: 27394 HUF
Availability: InStock
Author: W. K. Hayman
ISBN: 9780521057677

W. K. Hayman

Language

English

Book Paperback

Libristo code: 02020157

Publishers Cambridge University Press, January 2008

The class of multivalent functions is an important one in complex analysis. They occur for example i... Full description

Libristo code: 02020157

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27 394 Ft

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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. Another 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.