Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Uniqueness of Entire Functions that Share an Entire Function of Smaller Order with One of Their Linear Differential Polynomials

  • Li, Xiao-Min (Department of Mathematics, Ocean University Of China) ;
  • Yi, Hong-Xun (Department of Mathematics, Shandong University)
  • Received : 2011.12.29
  • Accepted : 2014.03.21
  • Published : 2016.09.23
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Abstract

We prove a uniqueness theorem of entire functions sharing an entire function of smaller order with their linear differential polynomials. The results in this paper improve the corresponding results given by Gundersen-Yang[4], Chang-Zhu[3], and others. Some examples are provided to show that the results in this paper are best possible.

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References

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