On the Fekete-Szego Problem for Close-to-Convex Functions

Wolfram Koepf
1987 Proceedings of the American Mathematical Society  
Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result max \a3 -Ao?| = 1 + 2e"2A/(1-A) fes for A 6 [0, 1]. We consider the corresponding problem for the family C of close-to-convex functions and get
doi:10.2307/2046556 fatcat:dqjjtoopzzfd5l5hcddy54zauu