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Differential subordination and convexity criteria of integral operators

R. ChandrashekarSee Keong LeeK.G. Subramanian — 2017

Open Mathematics

A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.

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