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

作者：Benini Anna Miriam^*

来源：Revista Matematica Iberoamericana, 2016, 32(1): 267-274.

DOI：10.4171/RMI/886

• Meromorphic functions
• entire functions
• logarithmic coordinates
• holomorphic dynamics
• transcendental functions
• repelling periodic points

Let f 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 n >= 1, using a much simpler argument than the corresponding results for arbitrary entire transcendental functions.

• 出版日期2016