Open Mathematics (Jan 2016)

On meromorphic functions for sharing two sets and three sets in m-punctured complex plane

  • Xu Hong-Yan,
  • Zheng Xiu-Min,
  • Wang Hua

DOI
https://doi.org/10.1515/math-2016-0084
Journal volume & issue
Vol. 14, no. 1
pp. 913 – 924

Abstract

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In this article, we study the uniqueness problem of meromorphic functions in m-punctured complex plane Ω and obtain that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 9, such that any two admissible meromorphic functions f and g in Ω must be identical if f, g share S1, S2 I M in Ω.

Keywords