PM  >> Vol. 7 No. 5 (September 2017)

    单位圆到双狭缝区域间的调和映射
    Univalent Harmonic Mapping from Unit Disk onto Two-Slit Domains

  • 全文下载: PDF(315KB) HTML   XML   PP.396-400   DOI: 10.12677/PM.2017.75051  
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作者:  

周 敏:惠州学院数学与大数据学院,广东 惠州;
关丽娜:深圳大学数学与统计学院,广东 深圳

关键词:
单叶调和映射双狭缝区域长度扭伸定理面积定理Univalent Harmonic Mapping Two-Slit Domain Distortion Theorem Area Theorem

摘要:

且设 为单位圆U到 上的所有满足标准化条件 且 的所有保向同胚的调和奇映射所构成的函数族。我们给出了 的长度扭伸定理和面积定理。

Let . Let be the class of sense-preserving univalent harmonic and odd mappings f which map the unit disk U onto with normalization and . We obtain the distortion theorem and area theorem of .

文章引用:
周敏, 关丽娜. 单位圆到双狭缝区域间的调和映射[J]. 理论数学, 2017, 7(5): 396-400. https://doi.org/10.12677/PM.2017.75051

参考文献

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