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.
@article{bwmeta1.element.doi-10_1515_math-2017-0127,
author = {R. Chandrashekar and See Keong Lee and K.G. Subramanian},
title = {Differential subordination and convexity criteria of integral operators},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1509-1516},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0127}
}
R. Chandrashekar; See Keong Lee; K.G. Subramanian. Differential subordination and convexity criteria of integral operators. Open Mathematics, Tome 15 (2017) pp. 1509-1516. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0127/