4 papers · 1 filter
When a meromorphic function that omits three values is of bounded type
Alexandre Eremenko, Aleksei Kulikov, Mikhail Sodin
Suppose that a function is meromorphic in the domain , where is an even, positive, and continuous function…
Carathéodory convergence and the conformal type problem
Alexandre Eremenko, Sergei Merenkov
We study Carathéodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the confor…
On the Shapes of Rational Lemniscates
Christopher J. Bishop, Alexandre Eremenko, Kirill Lazebnik
A rational lemniscate is a level set of where is rational. We prove that any planar Euler graph can be approximated, in a s…
The work of Walter Bergweiler in value distribution of meromorphic functions
Alexandre Eremenko
This is a colloquium talk in CAU, Kiel delivered on June 7, 2024 on the occasion of Walter Bergweiler's retirement. Walter's work on meromorphic functions consists of two parts: ge…