期刊文献+

一类全纯函数的正规性 被引量:6

ON THE NORMALITY OF CERTAIN KIND OF HOLOMORPHIC FUNCTIONS
下载PDF
导出
摘要 研究了具有一定性质的全纯函数.设F是平面上区域D内的全纯函数族.如果对于任意的f∈F 都有 其中C为常数且f(0)≠0,则F正规. This paper discusses the normality of certain kind of holomorphic functions and gets the following result: If F is a family of holomorphic functions in area D, and for A↓f ∈ F, f(z)=0←→(f')=z→|f″(z)|≤C, where c is a constant, if f(0)≠0, then 5c is normal.
出处 《数学年刊(A辑)》 CSCD 北大核心 2005年第6期765-770,共6页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10271122)资助的项目
关键词 全纯函数 正规 例外值 零点 Holomorphic, Normality, Exception value, Zero point
  • 相关文献

参考文献3

  • 1Pang Xuecheng & Zalcman,L.,Normal families and shared values[J].Bull.London Math.Soc.,32(2000),325-331.
  • 2Pang Xuecheng,Shared values and normal families[J].Analysis,22(2002),175-182.
  • 3Clunie,J.& Hayman,W.K.,The spherical derivative of integral and meromorphic functions[J].Comment Math.Helvet,40(1966),117-148.

同被引文献21

  • 1陈怀惠,顾永兴.Marty定则的改进及其应用[J].中国科学(A辑),1993,23(2):123-129. 被引量:18
  • 2J M Chang,M L Fang,L Zalcman.Normal families of holomorphic functions[J].Illinois Math J,2004,(1):319-337.
  • 3Pang X C,Zalcman L.Normality and shared values[J].Bull London Math Soc,2000,2:325-331.
  • 4Hayman W K.Meromorphic Functions[M].Oxford:Clarendon Press,1964.
  • 5Schiff J.Normal Families[M].Berlin:Springcr-Verlag,1993.
  • 6Yang L.Value Distribution Theory[M].Berlin:Springer-Verlag,1993.
  • 7X.C.Pang and L.Zalcman.Normal families and shared values[J].Ark Mat,2000.3:171-182.
  • 8Chang M, Kanwar N, Feng E, et al. Pim Kinase inhibitors downregu- late stat3 ( tyr705 ) phosphorylation. Mol Cancer Ther, 2010, 9 ( 9 ) : 2478 -2487.
  • 9Schwick W. Sharing values and normality[J]. Arch Math, 1992, 59:50-54.
  • 10Pang Xue C, Zalcman L. Normal families and shared values[J]. Arkiv for Mathematics, 2000, 38( 1 ) :171 -182.

引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部