Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A NOTE ON UNICITY OF MEROMORPHIC FUNCTIONS IN SEVERAL VARIABLES

  • Yezhou Li (School of Science Beijing University of Posts and Telecommunications) ;
  • Heqing Sun (School of Science Beijing University of Posts and Telecommunications)
  • Received : 2022.09.18
  • Accepted : 2023.05.12
  • Published : 2023.07.01
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Abstract

Let f(z) be a meromorphic function in several variables satisfying $$\lim_{r\rightarrow\infty}sup\frac{log T(r, f)}{r}=o.$$ We mainly investigate the uniqueness problem on f in ℂm sharing polynomial or periodic small function with its difference polynomials from a new perspective. Our main theorems can be seen as the improvement and extension of previous results.

Keywords

Acknowledgement

The authors want to express their thanks to the anonymous referees for their suggestions and valuable comments that improved the quality of the paper. We would also like to thank Professor Yu Tian for the helpful discussions.

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