A Coefficient Functional for Transformations of Starlike and Convex Functions of Complex Order

We define two subclasses of analytic functions say $ S_b^gamma(\phi)C_b gammaphi. We obtain the sharp upper bound for the coefficient functional mid b_2k+1-mu b_k+1^2mid corresponding to the k^th root transformation of f and function defined through convolution and fractional derivatives. We also investigated the Fekete-Szego problem for the inverse function of f and for the function raczf(z). The results of this paper generalize the work of earlier researchers in this direction.