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Vladikavkazskii Matematicheskii Zhurnal, 2006, Volume 8, Number 2, Pages 50–53 (Mi vmj126)  

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
References:
Abstract: 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.
Received: 21.07.2006
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: English
Citation: Y. Polatoglu, M. Caglar, A. Sen, “Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc”, Vladikavkaz. Mat. Zh., 8:2 (2006), 50–53
Citation in format AMSBIB
\Bibitem{PolCagSen06}
\by Y.~Polatoglu, M. Caglar, A.~Sen
\paper Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc
\jour Vladikavkaz. Mat. Zh.
\yr 2006
\vol 8
\issue 2
\pages 50--53
\mathnet{http://mi.mathnet.ru/vmj126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2434390}
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