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Владикавказский математический журнал, 2006, том 8, номер 2, страницы 50–53
(Mi vmj126)
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Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc
Y. Polatoglu, M. Caglar, A. Sen Istanbul Kultur University, Istanbul, Turkey
Аннотация:
Nehari norm of the Schwarzian derivative of an analytic function is closely related to its univalence. The famous Nehari-Kraus theorem ([3], [4]) and Ahlfors-Weill theorem [1] are of fundamental importance in this direction. For a non-constant meromorphic function $f$ on $D$ the unite disc, the Schwarzian derivative $S_f$ of $f$ by is holomorphic at $z_0\in D$ if and only if $f$ is locally univalent at $z_0$. The aim of this paper is to give sharp estimates of the Nehari norm for the subclasses of convex functions in the unit disc.
Поступила в редакцию: 21.07.2006
Образец цитирования:
Y. Polatoglu, M. Caglar, A. Sen, “Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc”, Владикавк. матем. журн., 8:2 (2006), 50–53
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/vmj126 https://www.mathnet.ru/rus/vmj/v8/i2/p50
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Страница аннотации: | 195 | PDF полного текста: | 139 | Список литературы: | 31 | Первая страница: | 1 |
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