Convex combination of analytic functions

Convex combination of analytic functions

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).

Bibliographic Details
Main Authors: Cho Nak Eun, Jain Naveen Kumar, Ravichandran V.
Format: Article
Language:English
Published: De Gruyter 2017-03-01
Series:Open Mathematics
Subjects:
convex function
starlike function
close-to-convex function
lemniscate of bernoulli
radius of starlikeness
convolution
convex combination
30c80
30c45
Online Access:http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0021/math-2017-0021.xml?format=INT

Internet

http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0021/math-2017-0021.xml?format=INT

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