Convex combination of analytic functions

Nak Eun Cho, Naveen Kumar Jain, and V. Ravichandran. "Convex combination of analytic functions." Open Mathematics 15.1 (2017): 331-339. <http://eudml.org/doc/288044>.

@article{NakEunCho2017,
abstract = {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).},
author = {Nak Eun Cho, Naveen Kumar Jain, V. Ravichandran},
journal = {Open Mathematics},
keywords = {Convex function; Starlike function; Close-to-convex function; Lemniscate of Bernoulli; Radius of starlikeness; Convolution; Convex combination; convex function; star-like function; close-to-convex function; lemniscate of Bernoulli; radius of starlikeness; convolution; convex combination},
language = {eng},
number = {1},
pages = {331-339},
title = {Convex combination of analytic functions},
url = {http://eudml.org/doc/288044},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Nak Eun Cho
AU - Naveen Kumar Jain
AU - V. Ravichandran
TI - Convex combination of analytic functions
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 331
EP - 339
AB - 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).
LA - eng
KW - Convex function; Starlike function; Close-to-convex function; Lemniscate of Bernoulli; Radius of starlikeness; Convolution; Convex combination; convex function; star-like function; close-to-convex function; lemniscate of Bernoulli; radius of starlikeness; convolution; convex combination
UR - http://eudml.org/doc/288044
ER -