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

doi:10.1016/S0252-9602(11)60220-8

Abstract

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

CLC Number:

30D35

CHEN Sheng-Jiang, LIN Wei-Chuan. ON UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH SHARED-SETS IN AN ANGULAR DOMAIN[J].Acta mathematica scientia,Series B, 2011, 31(1): 194-206.

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