Abstract
By using Tsuji's characteristic, we investigate uniqueness of meromorphic functions in an angular domain dealing with the shared set, which is different from the set of the paper (Lin et al., 2006) and obtain a series of results about the unique range set of meromorphic functions in angular domain.
Highlights
By using Tsuji’s characteristic, we investigate uniqueness of meromorphic functions in an angular domain dealing with the shared set, which is different from the set of the paper (Lin et al, 2006) and obtain a series of results about the unique range set of meromorphic functions in angular domain
The purpose of this paper is to deal with the uniqueness problem of meromorphic functions sharing one set in an angular domain by using Tsuji’s characteristic
In 2006, Lin et al [7] dealt with the uniqueness problem on meromorphic functions sharing three finite sets in an angular domain and obtained the following theorems
Summary
The purpose of this paper is to deal with the uniqueness problem of meromorphic functions sharing one set in an angular domain by using Tsuji’s characteristic. If f and g are two nonconstant meromorphic functions that share five distinct values a1, a2, a3, a4, and a5 IM in C, f(z) ≡ g(z) After his theorems, the uniqueness problems of meromorphic functions sharing values in the whole complex plane attracted many investigations (see [2]). In 2006, Lin et al [7] dealt with the uniqueness problem on meromorphic functions sharing three finite sets in an angular domain and obtained the following theorems. In 2011, Chen and Lin [21] further investigated the uniqueness of meromorphic functions sharing three finite sets in an angular domain and obtained the following result.
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