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正则区域的对数导数单叶性内径
  • ISSN号：1000-5862
  • 期刊名称：《江西师范大学学报：自然科学版》
  • 时间：0
  • 分类：O174.51[理学—数学;理学—基础数学]
  • 作者机构：[1]江西师范大学数学与信息科学学院,江西南昌330022
  • 相关基金：国家自然科学基金（11071063,11261022）; 江西省教育厅科研课题（GJJ12175）资助项目
作者： 罗贤[1], 杨宗信[1]
关键词： 正则区域, 对数导数, 单叶性内径, regulated domain , pre-Schwarzian derivative , the inner radius of univalence ted domain, the inner radius of
中文摘要：

研究了单位圆到正则区域的共形映射的对数导数,讨论了对数导数范数的一些性质,得到了带凸角的正则区域在对数导数意义下的单叶性内径的一个下界估计,并推导出椭圆内部区域的对数导数意义下的单叶性内径为1.

英文摘要：

Making use of integral representation of a conformal map from the unit disk onto a regula pre-Schwarzian derivative of the conformal map is discussed. A new estimation of lower bound of the univalence by pre-Schwarzian derivative of a regulated domain with convex corners is obtained.

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期刊信息
  • 《江西师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:江西师范大学
  • 主办单位:江西师范大学
  • 主编：
  • 地址：南昌市紫阳大道99号
  • 邮编：330022
  • 邮箱：lk8506184@126.com
  • 电话：0791-88506814
  • 国际标准刊号：ISSN：1000-5862
  • 国内统一刊号：ISSN：36-1092/N
  • 邮发代号:44-56
  • 获奖情况:
  • 2009年中国高等学校自然科学学报研究会颁发“全国...,2009年被评为：第四届华东地区优秀期刊奖”,2008年教育部科技司授予“第2届中国高校优秀科技...,2008年江西省新闻出版局授予“第3届江西省优秀期...,2004年教育部科技司授予“全国高校优秀科技期刊二...
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  • 被引量:5205