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Multivalent Functions

Multivalent Functions

2nd Edition

£103.00

Part of Cambridge Tracts in Mathematics

  • Date Published: November 1994
  • availability: Available
  • format: Hardback
  • isbn: 9780521460262

£ 103.00
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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.

    • First book to contain full and self-contained proof of de Branges' theorem
    • Very distinguished and well-known author
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    Product details

    • Edition: 2nd Edition
    • Date Published: November 1994
    • format: Hardback
    • isbn: 9780521460262
    • length: 276 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.58kg
    • contains: 5 b/w illus. 70 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Elementary bounds for univalent functions
    2. The growth of finitely mean valent functions
    3. Means and coefficients
    4. Symmetrization
    5. Circumferentially mean p-valent functions
    6. Differences of successive coefficients
    7. The Löwner theory
    8. De Branges' Theorem
    Bibliography
    Index.

  • Author

    W. K. Hayman, University of London

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