Uniformly Convex and Uniformly Starlike Functions

By Rosihan M. Ali, V. Ravichandran. 2011

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/cb84d995792f49e662092f83a707ea791b474067