Uniformly Convex and Uniformly Starlike Functions

Details Uniformly Convex and Uniformly Starlike Functions Uniformly Convex and Uniformly Starlike Functions

2011-06-22

arxiv.org/abs/1106.4377v1

Mathematics Newsletter, Ramanujan Mathematical Society, Vol. 21 No 1, 2011, pp. 16-30

Mathematics

Complex Variables

Scientific paper

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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