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Normal criteria on the family of meromorphic functions with shared set

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Abstract

In this paper, we investigate the general normality criteria for a family of meromorphic functions using a geometric method. We obtain the necessary and sufficient conditions used for determining the normality of a family of meromorphic functions and some normal criteria on the family of meromorphic functions with shared set by using the fundamental theorem of a covering surface.

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Authors and Affiliations

  1. School of Mathematics, South China Normal University, Guangzhou, 510631, China

    Daochun Sun

  2. Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang, 330027, China

    Huifang Liu

Authors
  1. Daochun Sun
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  2. Huifang Liu
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Corresponding author

Correspondence to Daochun Sun.

Additional information

This work is supported by the National Nature Science Foundation of China (No.10871076).

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Sun, D., Liu, H. Normal criteria on the family of meromorphic functions with shared set. Isr. J. Math. 184, 403–412 (2011). https://doi.org/10.1007/s11856-011-0073-x

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  • DOI: https://doi.org/10.1007/s11856-011-0073-x

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