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亚纯函数角域内分担3个值的唯一性

Keywords: 唯一性,亚纯函数,分担值,角域

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Abstract:

为寻求用较少的条件来确定函数间的关系,探讨了亚纯函数在角域内分担3个值的情况下函数的唯一性问题.通过建立角域上特征函数S(r,f)与计数函数C(r,f)的关系,将H.Ueda得到的亚纯函数在全平面上分担3个值的唯一性定理推广到角域内,并改进了张庆彩在角域内分担4个值的唯一性定理,得到在角域内分担3个值的唯一性定理.

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