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arXiv · 1106.4377

Uniformly Convex and Uniformly Starlike Functions

R. M. Ali·V. Ravichandran
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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.

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R. M. Ali, V. Ravichandran. 2011-06-22. Uniformly Convex and Uniformly Starlike Functions. https://arxiv.org/abs/1106.4377

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