J. Koch

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math.CV2016

Three Value Ranges for Symmetric Self-mappings

Julia Koch, Sebastian Schleißinger

Let $D$ be the unit disc and $z_{0} \in D .$ We determine the value range ${f (z_{0}) ∣ f \in R^{\geq}}$ , where $R^{\geq}$ is the set of holomorphic fun…

math.CV2015

Value Ranges of Univalent Self-Mappings of the Unit Disc

Julia Koch, Sebastian Schleissinger

We describe the value set ${f (z_{0}) : f : D \to D univalent, f (0) = 0, f^{'} (0) = e^{- T}},$ where $D$ denotes the unit disc and $z_0\in\mathbb{D}\setm…