A note on repelling periodic points for meromorphic functions with a bounded set of singular values
Anna Miriam Benini
Università di Roma 'Tor Vergata', Italy
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Abstract
Let be a meromorphic function with a 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 , using a much simpler argument than the corresponding results for arbitrary entire transcendental functions.
Cite this article
Anna Miriam Benini, A note on repelling periodic points for meromorphic functions with a bounded set of singular values. Rev. Mat. Iberoam. 32 (2016), no. 1, pp. 267–274
DOI 10.4171/RMI/886