Journal of East China Normal University(Natural Science) ›› 2020, Vol. 2020 ›› Issue (1): 1-6.doi: 10.3969/j.issn.1000-5641.201811043

• Mathematics •     Next Articles

Normal families of meromorphic functions and omitted functions

YANG Qi, YANG Jinhua   

  1. School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, China
  • Received:2018-11-16 Published:2020-01-13

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

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