Radius Results for Certain Strongly Starlike Functions

Abstract

This article comprises the study of strongly starlike functions which are defined by using the concept of subordination. The function φ defined by φ(ζ)=(1+ζ)λ, 0λ1 maps the open unit disk in the complex plane to a domain symmetric with respect to the real axis in the right-half plane. Using this mapping, we obtain some radius results for a family of starlike functions. It is worth noting that all the presented results are sharp.

Keywords

• univalent function
• subordination
• analytic function
• lemniscate of Bernoulli
• Schwarz function