Journal of East China Normal University(Natural Science) >

2020 , Vol. 2020 >Issue 1: 1 - 6

DOI: https://doi.org/10.3969/j.issn.1000-5641.201811043

Mathematics

Normal families of meromorphic functions and omitted functions

  • YANG Qi ,
  • YANG Jinhua
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  • School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, China

Received date: 2018-11-16

  Online published: 2020-01-13

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Abstract

In this paper, we study the normal criterion of meromorphic functions concerning omitted functions. By using P-Z lemma and the method of proof by contradiction, we obtain a new normal criterion: if the zeros of the families of meromorphic functions are all have multiplicity at least 3, then the families of meromorphic functions concerning omitted functions are normal.

Key words： meromorphic function; normal family; omitted function

Cite this article

YANG Qi , YANG Jinhua . Normal families of meromorphic functions and omitted functions[J]. Journal of East China Normal University(Natural Science), 2020 , 2020(1) : 1 -6 . DOI: 10.3969/j.issn.1000-5641.201811043

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