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, 0<λ<1 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.

The Fifth Coefficient Approximation of The Inverse Strongly Convex Function

“…Besides verifying the coefficients of the strongly starlike function, the verification is also carried out on the inverse strongly starlike function coefficients. Although verifying the inverse function is not easy, results with sharp limits for approximating the second to fourth coefficients of the strongly starlike inverse function are obtained (Nunokawa & Sokól, 2014;Saliu et al, 2023).…”