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/