Format:
1 Online-Ressource (xii, 263 pages)
,
digital, PDF file(s).
Edition:
Second edition.
ISBN:
9780511526268
Series Statement:
Cambridge tracts in mathematics 110
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521057677
Additional Edition:
ISBN 9780521460262
Additional Edition:
ISBN 9780521460262
Additional Edition:
ISBN 9780521057677
Additional Edition:
Erscheint auch als Hayman, Walter K., 1926 - 2020 Multivalent functions Cambridge [u.a.] : Cambridge Univ. Press, 1994 ISBN 0521460263
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521460262
Language:
English
Subjects:
Mathematics
Keywords:
Mehrwertige Funktion
DOI:
10.1017/CBO9780511526268
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