Subordination and Superordination on Schwarzian Derivatives

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چکیده

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Subordination and Superordination on Schwarzian Derivatives

Let the functions q1 be analytic and let q2 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 f are obtained so that either q1 z ≺ zf ′ z /f z ≺ q2 z or q1 z ≺ 1 zf ′′ z /f ′ z ≺ q2 z . As applications, sufficient conditions are determined relati...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2008

ISSN: 1029-242X

DOI: 10.1155/2008/712328