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调和映照与其剪切函数的单叶性

DOI: 10.11830/ISSN.1000-5013.2013.03.0334

Keywords: 单叶调和映照, 线性连结区域, 剪切函数, 调和拟共形映照

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Abstract:

利用调和映照像区域的线性连结性与单叶性之间的内在联系, 研究单位圆盘D上调和映照fα(z)=h(z)+αg(z)^-与其剪切函数Fβ(z)=h(z)+βg(z)的单叶性问题.研究得到判别单位圆盘上一类局部单叶调和映照为调和拟共形映照的充分必要条件,推广了由S.L.Chen等得到的相应结果.

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