arXiv:1411.6796 Abstract | arXiv Analytics

arXiv:1411.6796 [math.DS]Abstract References Reviews Resources

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

Published 2014-11-25Version 1

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 more general results for arbitrary entire transcendental functions.

Categories: math.DS

Subjects: 37F10, 37F20

Keywords: repelling periodic points, meromorphic function, singular values, bounded set, arbitrary entire transcendental functions

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