Differential subordination and convexity criteria of integral operators

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 def...

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Bibliographic Details
Main Authors: Chandrashekar R., Keong Lee See, Subramanian K.G.
Format: Article
Language:English
Published: De Gruyter 2017-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0127