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arXiv · 1411.6796

A note on repelling periodic points for meromorphic functions with bounded set of singular values

Anna Miriam Benini
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Abstract

Let $f$ be a meromorphic function with bounded set of singular values and for which infinity is a logarithmic singularity. Then we show that $f$ has infinitely many repelling periodic points for any minimal period $n\geq1$, using a much simpler argument than the corresponding results for arbitrary entire transcendental functions.

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Anna Miriam Benini. 2015-10-23. A note on repelling periodic points for meromorphic functions with bounded set of singular values. https://doi.org/10.4171/rmi%2F885

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