On the radius constants for classes of analytic functions

Abstract

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.

References in corpus (2)

• Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
• Uniformly Convex and Uniformly Starlike Functions

Cited by in corpus (7)

• Radius of Starlikeness for Classes of Analytic Functions
• Inclusion relations and radius problems for a subclass of starlike functions
• Starlikeness for Certain Close-to-Star Functions
• Starlikeness of Analytic Functions with Subordinate Ratios
• Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions
• Geometric properties of a domain with cusps
• Radius of starlikeness for some classes containing non-univalent functions