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

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.

Bibliographic Details
Main Authors: Xu Hong-Yan, Zheng Xiu-Min, Wang Hua
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0084/math-2016-0084.xml?format=INT
Description
Summary: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.
ISSN:2391-5455