Lipei Liu
Abstract
In this paper,we study uniqueness of meromorphic function that share two sets,the following theorem is proved: Let f(z) and g(z) be two nonconstant meromorphic functions If Θ0,f+Θ0,g32 then there exists a set S with 6 elements such thatE_2(S,f)=E_2(S,g) and ∞,f=∞,g implies f≡g.
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In this paper,we study uniqueness of meromorphic function that share two sets,the following theorem is proved: Let f(z) and g(z) be two nonconstant meromorphic functions If Θ0,f+Θ0,g32 then there exists a set S with 6 elements such thatE_2(S,f)=E_2(S,g) and ∞,f=∞,g implies f≡g.
Key concepts: Meromorphic function, Uniqueness, Mathematics, Function (biology), Uniqueness theorem for Poisson's equation, Set (abstract data type), Combinatorics, Pure mathematics