数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 194-206.doi: 10.1016/S0252-9602(11)60220-8

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ON UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH SHARED-SETS IN AN ANGULAR DOMAIN

陈省江, 林伟川   

  1. Department of Mathematics, Ningde Teachers College, Fujian 352100, China|
    Department of Mathematics, Fujian Normal University, Fuzhou 350007, China
  • 出版日期:2011-01-20 发布日期:2011-01-20

ON UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH SHARED-SETS IN AN ANGULAR DOMAIN

 CHEN Sheng-Jiang, LIN Wei-Chuan   

  1. Department of Mathematics, Ningde Teachers College, Fujian 352100, China|
    Department of Mathematics, Fujian Normal University, Fuzhou 350007, China
  • Online:2011-01-20 Published:2011-01-20

摘要:

In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic functions of infinite order in an angular domain and obtain some results. Moreover, examples show that the conditions in theorems are necessary.

关键词: Shared-set, uniqueness, meromorphic function, angular domain, infinite order

Abstract:

In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic functions of infinite order in an angular domain and obtain some results. Moreover, examples show that the conditions in theorems are necessary.

Key words: Shared-set, uniqueness, meromorphic function, angular domain, infinite order

中图分类号: 

  • 30D35