ABSTRACT
The study of operators plays an important role in geometric function theory in complex analysis and its related fields. This chapter considers a few of the classic integral operators defined on analytic functions. It briefly discusses some of the well-known subclasses of the analytic univalent function class 𝒮, including starlike and convex functions. The chapter offers to get the estimates on the Taylor-Maclaurin coefficients and derive the Fekete-Szego inequalities for functions in the classes St,Σμ(p˜) and Kt,Σμ(p˜). The geometric properties of the function classes St,Σμ(p˜),Kt,Σμ(p˜) vary according the values assigned to the parameters involved. Nevertheless, some results for the special cases of the parameters involved could be presented as illustrative examples.
