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狄里克莱级数在全纯星形内的求和问题
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作者 丘瑞立 《河池师专学报》 1994年第3期1-3,107,共3页
通过构造一个整函数的方法,导出了狄里克莱级数在全纯星形内求和的一个公式.
关键词 整函数 全纯星形 阿贝尔变换 一致收敛 无限环线 求和公式 求和问题 狄里克莱级数
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The Generalized Roper-Suffridge Extension Operator for Locally Biholomorphic Mappings 被引量:48
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作者 LIU Xiao-song,LIU Tai-shun (Department of Mathematics, University of Science and Technology of C hina, Hefei 230026, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期221-229,共9页
In this paper, we introduce the generalized R oper-Suffridge extension operator for locally biholomorphic mappings. It is sh own that this operator preserves the starlikeness on some Reinhardt domains and does not pre... In this paper, we introduce the generalized R oper-Suffridge extension operator for locally biholomorphic mappings. It is sh own that this operator preserves the starlikeness on some Reinhardt domains and does not preserve convexity for some cases. Meanwhile, the growth theorem and di stortion theorem of the corresponding mappings are given. 展开更多
关键词 biholomorphic mappings starlike mappings and convex mappings the generalized Roper-Suffridge extension operator
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