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Multivalent Functions by W. K. Hayman
Book DescriptionThe 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.
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Book DetailsISBN: 9780521460262
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Nov-1994
Country of Publication: United Kingdom
Books By Author W. K. Hayman
Multivalent Functions, Paperback (January 2008)
Essential reading for all interested in complex functions.
Proceedings of the Symposium on Complex Analysis, Paperback (August 1974)» View all books by W. K. Hayman
This book is essential reading for research workers and graduate students interested in complex analysis.
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