Andreas Sauer

collaborators

3 papers

math.CV2026

A remark concerning normal families and shared values

Andreas Sauer

We improve well-known results concerning normal families and shared values of meromorphic functions in the plane. In particular, we obtain two corollaries concerning meromorphic fu…

math.CV2025

Rational functions that share finite values with their first derivative

Andreas Sauer, Andreas Schweizer

We treat shared value problems for rational functions $R (z)$ and their derivative $R^{'} (z)$ in the plane and on the sphere. We also consider shared values for the pair $R (w)$ and $\p…

math.CV2025

Meromorphic functions that partially share values with their first derivative

Andreas Sauer, Andreas Schweizer

We consider uniqueness results for meromorphic functions $f : C \to C$ such that for certain values $a \in C$ the implication $f(z)=a \Rightarrow…