ある意味で1つの集合と2つの値を共有する有理型函数
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概要
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In this paper we give two unicity theorems for nonconstant meromorphic functions in the whole complex plane C that share one set S and two values in some sense. Our main results are the following: (A) Let [numerical formula], where n≧12 is an integer and a, b are two nonzero constants such that the algebraic equation [numerical formula] has no multiple roots. If f and g are distinct nonconstant meromorphic functions in the whole complex plane C sharing one set S and two values 0, ∞ IM, then [numerical formula] where α is a nonconstant entire function. (B) Let [numerical formula], where n≧7 is an integer and a, b are two nonzero constants such that the algebraic equation [numerical formula] has no multiple roots. If f and g are distinct nonconstant meromorphic functions in the whole complex plane C sharing one set S with weight 1 and two values 0, ∞ IM, then [numerical formula] where α is a nonconstant entire function.
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