Uniformly Convex and Uniformly Starlike Functions
Complex Variables
2011-08-23 v1
Abstract
A normalized univalent function is uniformly convex if it maps every circular arc contained in the open unit disk with center in it into a convex curve. This article surveys recent results on the class of uniformly convex functions and on an analogous class of uniformly starlike functions.
Cite
@article{arxiv.1106.4377,
title = {Uniformly Convex and Uniformly Starlike Functions},
author = {R. M. Ali and V. Ravichandran},
journal= {arXiv preprint arXiv:1106.4377},
year = {2011}
}