On meromorphic functions without JULIA directions

  • Peter Tien-Yu Chern
  • Published 2006


It is proved that for any positive number λ, 1 < λ < 2; there exists a meromorphic function f with logarithmic order λ= lim sup r→+∞ log T (r, f) log log r such that f has no Julia directions, where T (r, f) is the Nevanlinna characteristic function of f . (Note that A. Ostrowski has proved a like-result for λ = 2 in 1926.)

Cite this paper

@inproceedings{Chern2006OnMF, title={On meromorphic functions without JULIA directions}, author={Peter Tien-Yu Chern}, year={2006} }