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A note on a famous theorem of Pang and Zalcman

Complex Variables 2014-08-29 v1

Abstract

In this paper, by studying the famous theorem of Pang and Zalcman, we find a normal family and obtain a result, which is an improvement of Pang and Zalcman's theorem in some sense. Meanwhile, several examples are provided to show that our result's conditions are necessary.

Keywords

Cite

@article{arxiv.1408.6602,
  title  = {A note on a famous theorem of Pang and Zalcman},
  author = {Feng Lü and Junfeng Xu and Hongxun Yi},
  journal= {arXiv preprint arXiv:1408.6602},
  year   = {2014}
}

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10pages