Subordination and Superordination on Schwarzian Derivatives
© Rosihan M. Ali et al. 2008
Received: 4 September 2008
Accepted: 30 October 2008
Published: 10 November 2008
Let the functions be analytic and let be analytic univalent in the unit disk. Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function are obtained so that either or . As applications, sufficient conditions are determined relating the Schwarzian derivative to the starlikeness or convexity of .
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