On the radius constants for classes of analytic functions
classification
🧮 math.CV
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radiusconstantsstarlikenessanalyticclassesfunctionsobtainedbernoulli
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Radius constants for several classes of analytic functions on the unit disk are obtained. These include the radius of starlikeness of a positive order, radius of parabolic starlikeness, radius of Bernoulli lemniscate starlikeness, and radius of uniform convexity. In the main, the radius constants obtained are sharp. Conjectures on the non-sharp constants are given.
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