Differential subordination and convexity criteria of integral operators
Chandrashekar R., Keong Lee See, Subramanian K.G.
Open Mathematics · 2017
doi:10.1515/math-2017-0127 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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