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Subordination and Superordination on Schwarzian Derivatives
Journal of Inequalities and Applications volume 2008, Article number: 712328 (2008)
Abstract
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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Ali, R.M., Ravichandran, V. & Seenivasagan, N. Subordination and Superordination on Schwarzian Derivatives. J Inequal Appl 2008, 712328 (2008). https://doi.org/10.1155/2008/712328
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DOI: https://doi.org/10.1155/2008/712328