Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Meromorphic Function Sharing Two Small Functions with Its Derivative

  • Liu, Kai (School of Mathematics, Shandong University) ;
  • Qi, Xiao-Guang (School of Mathematics, Shandong University)
  • Received : 2007.09.03
  • Accepted : 2008.09.19
  • Published : 2009.06.30
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Abstract

In this paper, we deal with the problem of uniqueness of meromorphic functions that share two small functions with their derivatives, and obtain the following result which improves a result of Yao and Li: Let f(z) be a nonconstant meromorphic function, k > 5 be an integer. If f(z) and g(z) = $a_1(z)f(z)+a_2(z)f^{(k)}(z)$ share the value 0 CM, and share b(z) IM, $\overline{N}_E(r,f=0=F^{(k)})=S(r)$, f${\equiv}$g, where $a_1(z)$, $a_2(z)$ and b(z) are small functions of f(z).

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References

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Cited by

  1. Uniqueness of meromorphic functions sharing one or two small functions with its derivative 2016, https://doi.org/10.1007/s12215-016-0259-5