J. Aust. Math. Soc.  81 (2006), 363-368
Radial distributions of Julia sets of meromorphic functions

Ling Qiu
  LMAM
  School of Mathematical Sciences
  Peking University
  Beijing 100871
  P. R. China
  tangdin@math.pku.edu.cn
and
Shengjian Wu
  LMAM
  School of Mathematical Sciences
  Peking University
  Beijing 100871
  P. R. China
  tangdin@math.pku.edu.cn


Abstract
We consider a meromorphic function of finite lower order that has $\infty$ as its deficient value or as its Borel exceptional value. We prove that the set of limiting directions of its Julia set must have a definite range of measure.
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