Fekete-SzegöProblem for a New Class of Analytic Functions.

The article describes the Fekete-Szegö problem with complex parameter for a new class of analytic functions. It presents several equations for starlike functions and close-to-convex functions. It also offers estimates for normalized univalent function, wherein the coefficient functional on normalized analytic functions represents various geometric quantities. It notes that Koepf solved the Fekete-Szegö problem for close-to-convex functions and the largest real number. It presents a class of functions which denotes the subordination between analytic functions.