2013•Value EngineeringRequires access

Uniqueness of Meromorphic Function Sharing Five Small Functions

FU De-gang

Abstract

In this paper we study uniqueness of meromorphic function,and obtain a unicity theorem of(f z)and g(z)sharing five small functions.Let f(z)and g(z)be two nonconstant meromorphhic functions,and aj(z)(j=1,2,3,4,5)be five distinct non-vanish analytic functions,If (a j(z),f)■(a j(z),g) and ((lim)/(r→∞)5Σj=1(r,1/(f-aj(z))))/(5Σj=1(r,1/(g-aj(z))))1,则(fz)≡g(z).

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Key concepts: Meromorphic function, Uniqueness, Uniqueness theorem for Poisson's equation, Mathematics, Analytic function, Function (biology), Entire function, Pure mathematics