A note on repelling periodic points for meromorphic functions with   bounded set of singular values
  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. 
Anna Miriam Benini
math.DS