Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE UNIQUENESS OF MEROMORPHIC FUNCTION AND ITS SHIFT SHARING VALUES WITH TRUNCATED MULTIPLICITIES

  • Nguyen, Hai Nam (Department of Mathematics National University of Civil Engineering) ;
  • Noulorvang, Vangty (Department of Mathematics National University of Education) ;
  • Pham, Duc Thoan (Department of Mathematics National University of Civil Engineering)
  • Received : 2018.06.23
  • Accepted : 2019.02.07
  • Published : 2019.05.31
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Abstract

In this paper, we deal with unicity of a nonconstant zero-order meromorphic function f(z) and its shift f(qz) when they share four distinct values IM or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where $q{\in}\mathbb{C}{\setminus}\{0\}$. We also give an uniqueness result for f(z) sharing sets with its shift.

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Acknowledgement

Supported by : National University of Civil Engineering (NUCE)

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