# Convex combination of analytic functions

Nak Eun Cho; Naveen Kumar Jain; V. Ravichandran

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 331-339
- ISSN: 2391-5455

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topNak 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 -

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