Fekete Szego problem for close to convex functions with respect to a certain convex function dependent on a real parameter
Given a [0, 1] let ha(z) z/(1 az) z D: {z D: |z| 1} An analytic standardly normalized function f in D is called close to convex with respect to ha if there exists d p/2, p/2) such that Re{eidzf'(z)/ha(z) 0, z D. For the class l (ha) of all close to convex functions with respect to ha, the Fekete Szego problem is studied.