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Normal families and fixed points

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Abstract

LetF be a family of meromorphic functions in a domainD and letk≥2 be a positive integer. If, for everyf ∈F, itsk-th iteratef k has no fixed point inD, thenF is normal inD.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing Normal University, 210097, Nanjing, P.R. China

    Jianming Chang

  2. Department of Mathematics, Changshu Institute of Technology, Changshu, 215500, Jiangsu, P.R. China

    Jianming Chang

  3. Department of Applied Mathematics, South China Agricultural University, 510642, Guangzhou, P. R. China

    Mingliang Fang

  4. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100800, Beijing, P. R. China

    Mingliang Fang

Authors
  1. Jianming Chang
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  2. Mingliang Fang
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Corresponding author

Correspondence to Jianming Chang.

Additional information

Supported by the NNSF of China (Grant No. 10471065), the SRF for ROCS, SEM., and the Presidential Foundation of South China Agricultural University.

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Chang, J., Fang, M. Normal families and fixed points. J. Anal. Math. 95, 389–395 (2005). https://doi.org/10.1007/BF02791508

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  • DOI: https://doi.org/10.1007/BF02791508

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