English

Radially distributed values and normal families, II

Complex Variables 2020-12-29 v2

Abstract

We consider the family of all functions holomorphic in the unit disk for which the zeros lie on one ray while the 1-points lie on two different rays. We prove that for certain configurations of the rays this family is normal outside the origin.

Keywords

Cite

@article{arxiv.1809.04842,
  title  = {Radially distributed values and normal families, II},
  author = {Walter Bergweiler and Alexandre Eremenko},
  journal= {arXiv preprint arXiv:1809.04842},
  year   = {2020}
}

Comments

15 pages, 1 figure; minor revision of v1

R2 v1 2026-06-23T04:05:03.512Z