Extremal problems in the class of close-to-convex functions
Extremal problems in the class of close-to-convex functions
The class K of normalized close-to-convex functions in D = {z: z < 1} has a parametric representation involving two Stieltjes integrals. Using a variational method due to G. M. Goluzin (2) for classes of analytic functions defined by a Stieltjes integral, variational formulas are developed for K. With these …