The Fekete-Szegö Problem for the Logarithmic Function of the Starlike and Convex Functions

In this paper, we discuss the Fekete-Szegö functional (equation in pdf) which is defined by coefficients of the function (equation in pdf) for the analytic and univalent function (equation in pdf) where (equation in pdf) is a real or complex number, and (equation in pdf) are the first three coefficients from the series expansion of the function (equation in pdf) Our main purpose in this study is to find the upper bound for (equation in pdf) when (equation in pdf) , where (equation in pdf) and (equation in pdf) are, respectively, the class of starlike functions of order (equation in pdf) and the class of convex functions of order (equation in pdf)