Uniqueness theorems for meromorphic functions that share three sets. (English) Zbl 1038.30017

Lin, Wei-Chuan; Yi, Hong-Xun

Complex Variables, Theory Appl. 48, No. 4, 315-327 (2003).

Authors’ abstract: We deal with the problem of uniqueness of meromorphic functions that share three sets, and obtain one set S with 5 elements such that any two nonconstant meromorphic functions f and g satisfying \(E(S, f)= E(S, g)\), \(E(\{0\}, f)= E(\{0\}, g)\) and \(E(\{\infty\}, f)= E(\{\infty\}, g)\) must be identical.

Reviewer: Chung-Chun Yang (Kowloon)

MSC:

30D35

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Keywords:

shared set; uniqueness theorem; meromorphic function