Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Set shared by an Entire Function with its k-th Derivative Using Normal Families

  • Received : 2018.04.07
  • Accepted : 2019.11.28
  • Published : 2020.06.30
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Abstract

In this paper, we study a problem of a non-constant entire function f that shares a set S = {a, b, c} with its k-th derivative f(k), where a, b and c are any three distinct complex numbers. We have found a gap in the statement of the main result of Chang-Fang-Zalcman [10], and with the help of their method, we have generalize their result in a more compact form. As an application, we generalize the famous Brück conjecture [9] with the idea of set sharing.

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References

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