Essential reading for all interested in complex functions. Series: Cambridge Tracts in Mathematics. Num Pages: 276 pages, 5 b/w illus. 70 exercises. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 16. Weight in Grams: 410. . 2008. 2nd Edition. paperback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Multivalent Functions 2ed: 110 (Cambridge Tracts in Mathematics, Series Number 110)
Publisher: Cambridge University Press
Publication Date: 2008
Language: English
ISBN 10: 0521057671
ISBN 13: 9780521057677
Binding: Soft cover
Edition: 2nd Edition
Condition: New

About this title

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 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.

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.

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