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Properties of differences of meromorphic functions

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Abstract

Let f be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference g(z) = f(z + c) − f(z) and the divided difference g(z)/f(z).

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Author information

Authors and Affiliations

  1. Guangzhou, P. R. China

    Zong-Xuan Chen

  2. Pusan, Korea

    Kwang Ho Shon

  3. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China

    Zong-Xuan Chen

  4. Department of Mathematics, College of Natural Sciences, Pusan National University, Pusan, 609-735, Korea

    Kwang Ho Shon

Authors
  1. Zong-Xuan Chen
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  2. Kwang Ho Shon
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Corresponding author

Correspondence to Zong-Xuan Chen.

Additional information

This project was supported by the Brain Pool Program of Korean Federation of Science and Technology Societies (No: 072-1-3-0164) and by the National Natural Science Foundation of China (No: 10871076). The second author was supported by the Korea Research Foundation(KRF) grant funded by the Korea government(MEST) (No. 2009-0074210).

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Chen, ZX., Shon, K.H. Properties of differences of meromorphic functions. Czech Math J 61, 213–224 (2011). https://doi.org/10.1007/s10587-011-0008-z

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  • DOI: https://doi.org/10.1007/s10587-011-0008-z

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