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Normal families and fixed-points of meromorphic functions

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Abstract

In this paper, we obtain some normality criteria of families of meromorphic functions, which improve and generalize the related results of Gu, Pang-Yang-Zalcman, and Zhang-Pang-Zalcman, respectively. Some examples are given to show the sharpness of our results.

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Acknowledgments

The author is grateful to the referee for his/her valuable comments.

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Authors and Affiliations

  1. Institute of Mathematics, School of Mathematics, Nanjing Normal University, Nanjing, 210023, People’s Republic of China

    Yan Xu

Authors
  1. Yan Xu
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Correspondence to Yan Xu.

Additional information

Communicated by A. Constantin.

Research supported by NNSF of China (Grant Nos. 11171045, 11471163) and Doctoral Fund of Ministry of Education of China (Grant No. 20123207110003).

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Xu, Y. Normal families and fixed-points of meromorphic functions. Monatsh Math 179, 471–485 (2016). https://doi.org/10.1007/s00605-015-0847-z

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  • DOI: https://doi.org/10.1007/s00605-015-0847-z

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