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arxiv: 1106.4377 · v1 · pith:WUWUAJABnew · submitted 2011-06-22 · 🧮 math.CV

Uniformly Convex and Uniformly Starlike Functions

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keywords uniformlyconvexfunctionsclassstarlikeanalogousarticlecenter
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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.

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