Schwarz-Pick typeinequalities
This book discusses in detail the extension of the Schwarz-Pick inequality to higher order derivatives of analytic functions with given images. It is the first systematic account of the main results in this area. Recent results in geometric function theory presented here include the attractive steps...
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| Главные авторы: | , , |
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| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2009. |
| Серии: | Frontiers in Mathematics
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| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Description d'apès consultation du 30 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Schwarz-Pick Type Inequalities, Texte imprimé, 9783034600101 • Schwarz-Pick type inequalities, Farit G. Avkhadiev, Karl-Joachim Wirths, Basel, Birkhäuser, 2009, 1 vol. (VIII-156 p.), Frontiers in mathematics, 978-3-7643-9999-3 |
| Итог: | This book discusses in detail the extension of the Schwarz-Pick inequality to higher order derivatives of analytic functions with given images. It is the first systematic account of the main results in this area. Recent results in geometric function theory presented here include the attractive steps on coefficient problems from Bieberbach to de Branges, applications of some hyperbolic characteristics of domains via Beardon-Pommerenke's theorem, a new interpretation of coefficient estimates as certain properties of the Poincaré metric, and a successful combination of the classical ideas of Littlewood, Löwner and Teichmüller with modern approaches. The material is complemented with historical remarks on the Schwarz Lemma and a chapter introducing some challenging open problems. The book will be of interest for researchers and postgraduate students in function theory and hyperbolic geometry |
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| Примечание: | Description d'apès consultation du 30 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783034600002 |
| ISSN: | 1660-8054 |
| Доступ: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |