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New Trends in Analysis and Interdisciplinary Applications pp 215–221Cite as

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Meromorphic Functions Sharing Four Real Values

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Abstract

We study the uniqueness question of transcendental meromorphic functions that share four distinct finite values a 1, a 2, a 3, a 4, where all the a j -points of the transcendental meromorphic functions are real numbers for 1 ≤ j ≤ 4. The results in this paper improve and extend the corresponding results from Czubiak–Gundersen (Proc Am Math Soc 82:393–397, 1981) and Yi (Proc Am Math Soc 124:585–590, 1996). An example is provided to show that the results in this paper, in a sense, are the best possible.

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References

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Acknowledgements

This work is supported in part by the NSFC (No.11171184), the NSFC (No.11461042)and the NSF of Shandong Province, China (No. ZR2014AM011).

Author information

Authors and Affiliations

  1. Department of Mathematics, Ocean University of China, Qingdao, Shandong, 266100, People’s Republic of China

    Xiao-Min Li & Cui Liu

  2. Department of Mathematics, Ocean University of China, Jinan, Shandong, 250199, People’s Republic of China

    Hong-Xun Yi

Authors
  1. Xiao-Min Li
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  2. Cui Liu
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  3. Hong-Xun Yi
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Corresponding author

Correspondence to Xiao-Min Li .

Editor information

Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Li, XM., Liu, C., Yi, HX. (2017). Meromorphic Functions Sharing Four Real Values. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_27

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