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Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts

Author

Listed:
  • Baoqin Chen
  • Zongxuan Chen
  • Sheng Li

Abstract

We study the uniqueness problems on entire functions and their difference operators or shifts. Our main result is a difference analogue of a result of Jank‐Mues‐Volkmann, which is concerned with the uniqueness of the entire function sharing one finite value with its derivatives. Two relative results are proved, and examples are provided for our results.

Suggested Citation

  • Baoqin Chen & Zongxuan Chen & Sheng Li, 2012. "Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:906893
    DOI: 10.1155/2012/906893
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    References listed on IDEAS

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    1. Sheng-Jiang Chen & Wei-Chuan Lin & Jun-Fan Chen, 2011. "On the growth of meromorphic functions with a radially distributed value," Indian Journal of Pure and Applied Mathematics, Springer, vol. 42(1), pages 53-70, February.
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    Cited by:

    1. Sheng Li & BaoQin Chen, 2014. "Unicity of Meromorphic Functions Sharing Sets with Their Linear Difference Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Zong-Xuan Chen & Kwang Ho Shon, 2013. "Fixed Points of Meromorphic Solutions for Some Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Shuang-Ting Lan & Zong-Xuan Chen, 2014. "On Properties of Meromorphic Solutions of Certain Difference Painlevé III Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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    1. Jun-Fan Chen, 2012. "A Note on the Growth of Meromorphic Functions with a Radially Distributed Value," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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