Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
@article{bwmeta1.element.doi-10_1515_math-2017-0021,
author = {Nak Eun Cho and Naveen Kumar Jain and V. Ravichandran},
title = {Convex combination of analytic functions},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {331-339},
zbl = {06704088},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0021}
}
Nak Eun Cho; Naveen Kumar Jain; V. Ravichandran. Convex combination of analytic functions. Open Mathematics, Tome 15 (2017) pp. 331-339. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0021/