| 与分担函数相关的亚纯函数的正规性 |
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| 引用本文： | 刘克笑.与分担函数相关的亚纯函数的正规性[J].怀化学院学报,2011,30(2):11-15. |
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| 作者姓名： | 刘克笑 |
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| 作者单位： | 怀化学院预科部,湖南怀化,418008 |
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| 摘 要： | 设(F)为定义在区域D内的一族亚纯函数,a(z)和b(z)为两个在D满足a(z)≠b(z)和a(z)≠b(k)(z)以及a(z)(≠)a'(z)的全纯函数,若对于任意的f∈(F),f(z)-a(z)的零点重级至少是k,f(z)和f(k)(z)分担a(z),且当f(z)=b(z)时,f(k)(z)=b(z),那么(F)在...
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| 关 键 词： | 亚纯函数 正规族 分担函数 |
Normal Families of Meromorphic Functions Concerning Shared Functions |
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| LIU Ke-xiao.Normal Families of Meromorphic Functions Concerning Shared Functions[J].Journal of Huaihua University,2011,30(2):11-15. |
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| Authors: | LIU Ke-xiao |
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| Institution: | LIU Ke-xiao(Preparatory Department,Huaihua University,Huaihua,Hunan 418008) |
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| Abstract: | Let F be a family of meromorphic functions on the plain domain D,a(z)and b(z) beholomorphic functions in D such that a(z)≠b(z) and a(z)≠b(k)(z) and a(z)■a′(z).If for every f∈F,the zeros of f(z)-a(z) are of multiplicity at least k,f(z) and f(k)(z) share a(z),and f(z)=b(z)■f(k)(z)=b(z),then F is normal on D. |
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| Keywords: | meromorphic function normal family shared function |
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