Normal families of meromorphic functions and omitted functions

YANG Qi; YANG Jinhua

doi:10.3969/j.issn.1000-5641.201811043

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Jan. 2020

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

Citation:

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

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Normal families of meromorphic functions and omitted functions

doi: 10.3969/j.issn.1000-5641.201811043

YANG Qi,
YANG Jinhua^,

School of Mathematical Sciences, Xinjiang Normal University, Urumqi　830054, China

Received Date: 2018-11-16
Available Online: 2019-12-03
Publish Date: 2020-01-01

Abstract

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.
- meromorphic function,
- normal family,
- omitted function

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References(8)

References

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