2017
DOI: 10.1515/math-2017-0127
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Differential subordination and convexity criteria of integral operators

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

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