| 关于Gelfer函数 |
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| 引用本文： | 邹中柱.关于Gelfer函数[J].怀化学院学报,1991(2). |
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| 作者姓名： | 邹中柱 |
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| 作者单位： | 怀化师专数学系 |
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| 摘 要： | 我们称单位圆盘中的解析函数f(z)=1+(sum from n=1 to ∞)a_nZ~n为Gelfer函数,如果对一切Z,∈△,都有f(z)+f(C)≠0。文〔1〕中关于Gelfer函数提出了若干问题,我们解决了其中的两个。
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| 关 键 词： | Gelfer函数 从属 Riemann映照定理 |
On Gelfer Functions |
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| Zou Zhongzhu.On Gelfer Functions[J].Journal of Huaihua University,1991(2). |
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| Authors: | Zou Zhongzhu |
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| Institution: | Departmet of Mathematics |
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| Abstract: | Let G be the class of Gclfcr functions f which are analytic in the unit disc △ = {|z| < 1} and satis fying conditions f(0)= 1 and f(z)+f(ξ)≠0 for all z,ξ ∈ △. Recently, S.Yamashita 1] posed some prob-lems for Gelfer functions. In this paper, we answer two of them. |
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| Keywords: | Gelfer function subordiuation Riemann Mapping Theorem |
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