Article Contents
Article Contents

# Measure rigidity for some transcendental meromorphic functions

• We consider hyperbolic meromorphic functions of the following form $f(z)=R\circ\exp(z)$, where $R$ is a non-constant rational function, satisfying so-called rapid derivative growth condition. We study several types of conjugacies in this class and prove a~measure rigidity theorem in the case when $f$ has a logarithmic tract over $\infty$ and under some additional assumptions.
Mathematics Subject Classification: Primary: 37F10; Secondary: 30D05.

 Citation:

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