On Coefficients of a Certain Subclass of Starlike and Bi-starlike Functions

In this paper we investigate a subclass M(α) of the class of starlike functions in the unit disk ㅣzㅣ < 1. The class M(α) was introduced by Kargar et al. [Complex Anal. Oper. Theory 11:1639{1649, 2017]. In this paper some basic geometric properties of the class M(α) are investigated. Among others things, coeffcients estimates and bound are given for the Fekete-Szego functional associated with the k{th root transform [f(z^k)]^(1/k.). Also a certain subclass of bi-starlike functions is introduced and the bounds for the initial coeffcients are obtained. KCI Citation Count: 0