Multivalent Functions 2ed: 110 (Cambridge Tracts in Mathematics, Series Number 110) - Softcover

Hayman, W. K.

Softcover

ISBN 10: 0521057671 ISBN 13: 9780521057677

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Book Description

The second edition of this celebrated book contains a full and self-contained proof of De Branges' theorem. Every chapter has been updated and many of the original proofs have been simplified. It will be essential for all interested in complex function theory.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• Language: English
• ISBN 10: 0521057671
• ISBN 13: 9780521057677
• Binding: Paperback
• Edition number: 2
• Number of pages: 276