| Julia例外函数集的一些性质 |
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| 引用本文： | 潘涤世.Julia例外函数集的一些性质[J].河北工业科技,1991(1). |
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| 作者姓名： | 潘涤世 |
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| 作者单位： | 石家庄师范专科学校 |
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| 摘 要： | 本文从正规簇理论出发,证明了1919年由 Julia 定义的 Julia 例外函数,与1926年由 Ostrowski 定义的 Julia 例外函数的等价性,并用 Ostrowski 的定义,证明了 Julia 例外函数集 J,对普通函数的加法和乘法,构成一个交换域,并且 J 中一致球面收敛函数列的极限,也是 Julia 例外函数。
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| 关 键 词： | 正规族 Julia 例外函数 一致球面收敛 Abel 群 |
Some Properties of Set of Juia's Exceptional Function |
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| Pan Dishi.Some Properties of Set of Juia''''s Exceptional Function[J].Hebei Journal of Industrial Science & Technology,1991(1). |
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| Authors: | Pan Dishi |
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| Institution: | Shijiazhuang District Teacher's Vocational Training School |
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| Abstract: | Proceding from the theory of normal family,this paper demonstrats that Julia's exceptional function defined by Julia in 1919 is equivalent to that by Ostrowski in 1926.With the equality it proves that set—J of Julia's exceptional function forms a commutative field for the addition and multiplication in ordinary function,and that the limit of umiformly sphercal convergence se- quence on sphere in J is also a Julia's exceptional function. |
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| Keywords: | normal family Julia's exceptional function uniform convergence on sphere Abelian group |
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