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Starlikeness of Functions Defined by Third‐Order Differential Inequalities and Integral Operators

R. Chandrashekar, Rosihan M. Ali, K. G. Subramanian and A. Swaminathan

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Sufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third‐order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. Connections are also made to earlier known results.

Date: 2014
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https://doi.org/10.1155/2014/723097

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