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Hayman, W.K. 作者

译者

1994-11 出版日期

276 页数

$ 166.11 价格

丛书系列

9780521460262 图书编码

Multivalent Functions 在线电子书图书标签: 数学

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Multivalent Functions 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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.

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