【摘要】 本文推广了著名的寇勃定理,得到的主要定理如下:若G是一单连区域,Г;z=λ (t) α<t<β为G内曲半区间,其聚点集位于G的边界上,ζ=f (z) 为G内解析函数,若lim f [λ(t)]=c,则有f (z)≡c (z∈G)更多还原

【Abstract】 In this paper, We generalized the famous kolbe theorem of one complex variable theory, and get the following main theorem: (1) If G is a simply connected region, г: z= λ(t) a<t<β is a curvilinear semi --interval in G, Its limit points are on the boundary of G. (2) If ζ= f (z) is a analytic function in G, limf [λ(t)] = c , thenf (z) ≡c (z∈G).更多还原