Multivalent functions:
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-containe...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Ausgabe: | Second edition |
| Schriftenreihe: | Cambridge tracts in mathematics
110 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Ressource (xii, 263 Seiten) |
| ISBN: | 9780511526268 |
| DOI: | 10.1017/CBO9780511526268 |
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| 520 | |a 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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Datensatz im Suchindex
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| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511526268 |
| edition | Second edition |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9780511526268 |
| language | English |
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| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge University Press |
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| spelling | Hayman, Walter K. 1926-2020 Verfasser (DE-588)123030889 aut Multivalent functions W.K. Hayman Second edition Cambridge Cambridge University Press 1994 1 Online-Ressource (xii, 263 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 110 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 Functions Schlichte Funktion (DE-588)4131418-9 gnd rswk-swf Mehrwertige Funktion (DE-588)4409125-4 gnd rswk-swf Schlichte Funktion (DE-588)4131418-9 s DE-604 Mehrwertige Funktion (DE-588)4409125-4 s Erscheint auch als Druck-Ausgabe 978-0-521-46026-2 Erscheint auch als Druck-Ausgabe 978-0-521-05767-7 https://doi.org/10.1017/CBO9780511526268 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Hayman, Walter K. 1926-2020 Multivalent functions Functions Schlichte Funktion (DE-588)4131418-9 gnd Mehrwertige Funktion (DE-588)4409125-4 gnd |
| subject_GND | (DE-588)4131418-9 (DE-588)4409125-4 |
| title | Multivalent functions |
| title_auth | Multivalent functions |
| title_exact_search | Multivalent functions |
| title_full | Multivalent functions W.K. Hayman |
| title_fullStr | Multivalent functions W.K. Hayman |
| title_full_unstemmed | Multivalent functions W.K. Hayman |
| title_short | Multivalent functions |
| title_sort | multivalent functions |
| topic | Functions Schlichte Funktion (DE-588)4131418-9 gnd Mehrwertige Funktion (DE-588)4409125-4 gnd |
| topic_facet | Functions Schlichte Funktion Mehrwertige Funktion |
| url | https://doi.org/10.1017/CBO9780511526268 |
| work_keys_str_mv | AT haymanwalterk multivalentfunctions |