On the radius constants for classes of analytic functions
Complex Variables
2012-10-18 v1
Abstract
Radius constants for several classes of analytic functions on the unit disk are obtained. These include the radius of starlikeness of a positive order, radius of parabolic starlikeness, radius of Bernoulli lemniscate starlikeness, and radius of uniform convexity. In the main, the radius constants obtained are sharp. Conjectures on the non-sharp constants are given.
Cite
@article{arxiv.1207.4529,
title = {On the radius constants for classes of analytic functions},
author = {Rosihan M. Ali and Naveen Jain and V. Ravichandran},
journal= {arXiv preprint arXiv:1207.4529},
year = {2012}
}