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

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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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          Author and article information

          Journal
          2014-11-25
          2015-10-23
          Article
          10.4171/RMI/885
          1411.6796
          efb076c0-5771-4dca-b0fa-c9e70db62556

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          37F10, 37F20
          Rev. Mat, Iberoam. 32 (2016), no.1, 265-272
          References and a figure added, improvements in the proof, 8 pages
          math.DS

          Differential equations & Dynamical systems
          Differential equations & Dynamical systems

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