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正规族与正规函数的一个注记
  • ISSN号：1672-5174
  • 期刊名称：《中国海洋大学学报：自然科学版》
  • 时间：0
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：[1]山东大学数学学院,山东济南250100
  • 相关基金：国家自然科学基金资助项目（10771121）;山东省自然科学基金资助项目（Z2008A01）;高等学校博士点专项基金资助项目（200604220409）
作者： 戚建明[1]
关键词： 亚纯函数, 正规族, NEVANLINNA理论, meromorphic function, normal family, Nevanlinna theory
中文摘要：

设F为单位圆盘△上的一族全纯函数，a和b为2个有限的复数且有b≠a，如果对任意的z∈△且对每个f∈F，若f=α→f′=α，且f=b≥→f′=b，则存在一正整数M且对任意的f∈F,有（1-｜z｜^2）f^#（z）=（1-｜z｜^2）｜f′（z）｜/1＋｜f（z）｜^2≤M.

英文摘要：

Let F be a family of holomorphic functions on the unit disk △, and let a and b be two finite complex numbers such thatb≠a. If, for each f∈F and z∈△, f=α→f′=α,and f=b≥→f′=b then there exists a positive number M such that for any f∈F.（1-｜z｜^2）f^#（z）=（1-｜z｜^2）｜f′（z）｜/1＋｜f（z）｜^2≤M.

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函数唯一性与复域微分方程
期刊论文 60
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期刊信息
  • 《中国海洋大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:中国海洋大学
  • 主编：管华诗
  • 地址：青岛市松岭路238号
  • 邮编：266100
  • 邮箱：xbzrb@ouc.edu.cn
  • 电话：0532-82032256
  • 国际标准刊号：ISSN：1672-5174
  • 国内统一刊号：ISSN：37-1414/P
  • 邮发代号:24-31
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,英国动物学记录,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:11624