Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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UNIQUENESS THEOREM FOR A MEROMORPHIC FUNCTION AND ITS EXACT DIFFERENCE

  • Chen, Shengjiang (Department of Mathematics Ningde Normal University) ;
  • Xu, Aizhu (Department of Mathematics Ningde Normal University)
  • Received : 2019.11.07
  • Accepted : 2020.05.14
  • Published : 2020.09.30
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Abstract

Let f be a nonconstant meromorphic function of hyper order strictly less than 1, and let c be a nonzero finite complex number such that f(z + c) ≢ f(z). We prove that if ∆cf = f(z + c) - f(z) and f share 0, ∞ CM and 1 IM, then ∆cf = f. Our result generalizes and greatly improves the related results.

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References

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