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

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 $n\ge 1$, using a much simpler argument than the corresponding results for arbitrary entire transcendental functions.

References and a figure added, improvements in the proof, 8 pages

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