Some Properties of Starlike Functions with Respect to Symmetric-Conjugate Points

Let A be the class of all analytic functions in the unit disk U such that f(0) = f'(0) – 1 = 0. A function f G A is called starlike with respect to 2n symmetric-conjugate points if Re zf'(z)/f_n(z) > 0 for 2 ∊ U where [formula omitted] ω — exp(2πi/n]. This class is denoted by S_n* and was studied in [1]. A sufficient condition for starlikeness with respect to symmetric-conjugate points is obtained. In addition, images of some subclasses of S_n* under the integral operator I : A→A, I(f) = F where [formula omitted] and (g ∊ A is given are determined.