设,是复平面上的亚纯函数,argZ=θ(θ≤0〈27r)是,的一条Borel方向.如果亚纯函数g和,在包含argZ=0的角域内IM分担五个不同的值ai∈C(i=1,2,3,4,5),则f≡g.
Let f be a meromorphic function in the complex plane, and let argz = 0 (0 ≤ 0 〈 2π) be a BoreS direction of f. Assume that g is a meromorphic function, such that f and g share five distinct values ai ∈ C (i = 1, 2, 3, 4, 5) IM in an angular domain containing arg z = 0. Then f = g.