Taylor Series of the Natural Powers of the Pick Function and Applications
The area of the Mandelbrot set.
The Bieberbach Conjecture for Restricted Initial Coefficients.
The Bieberbach Conjecture for Univalent Functions with Small Second Coefficients.
The class of functions spirallike with respect to a boundary point.
The coefficient problem for functions with positive real part in a finitely connected domain
The Douady-Earle extension of quasihomographies
Quasihomography is a useful notion to represent a sense-preserving automorphism of the unit circle T which admits a quasiconformal extension to the unit disc. For K ≥ 1 let denote the family of all K-quasihomographies of T. With any we associate the Douady-Earle extension and give an explicit and asymptotically sharp estimate of the norm of the complex dilatation of .
The Equivalence of Two Weak Bieberbach Conjectures.
The punishing factors for convex pairs are .
The radius of convexity of certain analytic functions. II.
The second coefficient of a function with all derivatives univalent.