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OALib Journal期刊
ISSN: 2333-9721
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调和映照与像域为线性连结的剪切函数的关系
DOI: 10.11830/ISSN.1000-5013.2015.05.0603
Keywords: 调和映照, 线性连结, 调和拟共形映照, α近于凸.
Abstract:
设f(z)=h(z)+g(z)^-为单位圆盘D={z||z|<1}上的局部单叶调和函数,若剪切函数h(z)-g(z)在D上单叶且像域具有M线性连结,研究当伸缩商|ω(z)|=|(g’(z))/(h’(z))|在一定条件下,h(z),Fλ(z)=h(z)+λ×g(z)^- 等函数的单叶性及线性连结性问题,改进推广了陈少林的相应结果.
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