Karl-Joachim Wirths

Schwarz-pick type inequalities

1. Introduction.- 2. Basic coefficient inequalities.- 3. The Poincare metric.- 4. Basic Schwarz-Pick type inequalities.- 5. Punishing factors for special cases.- 6. Multiply connected domains.- 7. Related results.- 8. Some open problems.

Sharp inequalities for the coefficients of concave schlicht functions

Let

A proof of the Livingston conjecture

D

AN IMAGE-AREA INEQUALITY FOR SOME PLANAR HOLOMORPHIC MAPS

denote the open unit disc and let

THE CONFORMAL RADIUS AS A FUNCTION AND ITS GRADIENT IMAGE

f\colon D\to \mathbb{C}

Schwarz-Pick Inequalities for Hyperbolic Domains in the Extended Plane

be holomorphic and injective in

Julia's Lemma and concave schlicht functions

D

A short proof of a theorem of Bertilsson by direct use of Löwner’s method

. We further assume that

On Some Problems of James Miller

f(D)

On the Number of Isolated Maxima of Extreme Bloch Functions

is unbounded and