Andreas Schweizer

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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…