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
DOI: 10.12677/PM.2017.75051, PDF, HTML, XML, 下载: 1,577  浏览: 3,124 
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: 设 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。
Abstract: 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

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