Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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UNICITY OF MERMORPHIC FUNCTIONS CONCERNING SHARED FUNCTIONS WITH THEIR DIFFERENCE

  • Deng, Bingmao (School of financial mathematics & statistics Guangdong University of Finance) ;
  • Fang, Mingliang (Institute of Applied Mathematics South China Agricultural University) ;
  • Liu, Dan (Institute of Applied Mathematics South China Agricultural University)
  • Received : 2018.12.16
  • Accepted : 2019.03.08
  • Published : 2019.11.30
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Abstract

In this paper, we investigate the uniqueness of meromorphic functions of finite order concerning sharing small functions and prove that if f(z) and ${\Delta}_cf(z)$ share a(z), b(z), ${\infty}$ CM, where a(z), b(z)(${\neq}{\infty}$) are two distinct small functions of f(z), then $f(z){\equiv}{\Delta}_cf(z)$. The result improves the results due to Li et al. ([9]), Cui et al. ([1]) and $L{\ddot{u}}$ et al. ([12]).

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References

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