Cover of Multivalent Functions by Hayman, W. K., W. K., Hayman, Bollobas, Bela, ISBN 9780521460262
Calculus

Multivalent Functions

MULTIVALENT FUNCTIONS REV/E 2/

Contributor(s): Author , Author , Editor Format: Hardback

Hardback ยท ISBN 9780521460262

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Key Specifications

ISBN 9780521460262
Subtitle MULTIVALENT FUNCTIONS REV/E 2/
Publisher Cambridge University Press
Publication date November 1994
Language English
MRP ยฃ121.00 GBP
Page count 276
Item weight 127 g

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.