期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

关于微分多项式亚纯函数唯一性问题 被引量：1

Uniqueness of Meromorphic Functions Concerning Differential Polynomials
下载PDF
导出
摘要 在这篇论文中,作者采用I.Lahiri提出的权分担思想讨论了关于微分多项式亚纯函数唯一性问题,改进并总结了一些已有的结果. In this paper,we discuss the uniqueness problems of meromorphic functions concerning differential polynomials by the idea of weighted sharing introduced by I.Lahiri,improve and generalize some previous results.
作者 张晓宇 陈俊凡 林伟川
机构地区 日本山形大学大学院理工学研究科 福建师范大学数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2011年第2期447-454,共8页 Acta Mathematica Scientia
基金 日本科学研究基金JSPS(22-444) 中国国家自然科学基金(10771076.10671109) 广东省自然科学基金(07006700) 福建省自然科学基金(2008J0190 2010J05003)资助
关键词 唯一性 亚纯函数 权分担值 微分多项式 Uniqueness Meromorphic function Weighted sharing of value Differential polynomial.
分类号 O174.52 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Banerjee A.Meromorphic functions sharing one value.Int J Math Math Sci,2005,22:3587-3598.
  • 2Fang M L,Hong W.A unicity theorem for entire functions concerning differential polynonials.Indian J Pure Appl Math,2001,32:1343 1348.
  • 3Hayman W K.Meromorphic Functions.Oxford:Claredon Press,1964.
  • 4Hayman W K.Research Problems in Functions Theory.London:Athlone Press,1967.
  • 5Lahiri I.Weighted value sharing and uniqueness of meromorphic functions.Complex Variables,2001,46:241 253.
  • 6Lin W,Yi H X.Uniqueness theorems for meromorphic functions.Indian J Pure Appl Math,2004,35:121-132.
  • 7Mokhon'ko A Z.On the Nevanlinna characteristics of some meromorphic functions.Theory of Functions,Functional Analysis and Their Applications,1971,14:83 87.
  • 8Xiong W L,Lin W.Uniqueness of meromorphic functions concerning differential polynomials.J Anal Appl,2006,29:269-280.
  • 9Yang C C,Hua X H.Uniqueness and value-sharing of meromorphic functions.Ann Acad Sci Fenn Math,1997,22:395-406.
  • 10Yang L.Value Distribution Theory.Berlin:Springer-Verlag,1993.

二级参考文献9

  • 1Alzahary T C, Yi H X. Weighted sharing three values and uniqueness of meromorphic functions. J Math Anal Appl, 2004, 295:247- 257.
  • 2Gundersen G G. Meromorphic functions that share three or four values. J London Math Soc, 1979, 20: 457-466.
  • 3Hayman W K. Meromorphic Functions. Oxford: Clarendon, 1964.
  • 4Hua X H, Fang M L, Meromorphic functions sharing four small functions. Indian J Pure Appl Math, 1997, 28:797-811.
  • 5Lahiri I. Weighted sharing and uniqueness of meromorphic functions. Nagoya Math J, 2001, 161:193-206.
  • 6Lahiri I. Weighted sharing of three values and uniqueness of meromorphic functions. Kodai Math J, 2001, 24:421-435.
  • 7Yi H X. Meromorphic functions with weighted sharing of three values. Complex Variables, 2005, 50: 923-934.
  • 8Yi H X. Unicity theorems for meromorphic functions that share three values. Kodai Math J, 1995, 18: 300-314.
  • 9Yi H X, Yang C C. Uniqueness Theory of Meromorphic Functions. Beijing: Science Press, 1995.

同被引文献11

  • 1仪洪勋,杨重骏.亚纯函数惟一性理论[M].北京:科学出版社,1995.
  • 2Barnett D,Halburd R G,Korhonen R J ? et al. Applications of Nevanlinna theory to q- difference equations [J].Proc RoySoc Edinburgh Sect A, 2007, 137: 457--474.
  • 3Ishizaki K,Yanagihara N. Wiman-valiron method for difference equations [J]. Nagoya Math J, 2004,175 : 75 -102.
  • 4Ishizaki K, Yanagihara N. Borel and Julia directions of meromorphic Schroder functions [J]. Math Proc CambridgePhilos Soc, 2005,139: 139 - 147.
  • 5Valiron G. Functions analytiques [M]. Paris : Univ dePress,1952.
  • 6Gundersen G G. Heittokangas J,Laine I, et al. Meromorphic solutions of generalized Schroder equations [J].Aequationes Math,2002,63: 110-135.
  • 7Malmquist J. Sur les foncions a un nombre fini des branches definies par les equations differentielles du premierordre [J]. Aequationes Math,2002,63: 110-135.
  • 8Bergweiler W,Ishizaki K,Yanagihara N. Meromorphic solutions of some functional equations [J]. Methods ApplAnal, 1998,5: 248 - 258.
  • 9Zhang J L . KorhonenR, On the Nevanlinna characteristic of f{qz) and its applications [J]. J Math Anal Appl,2010(369):537-544.
  • 10Lahiri I. Weighted value sharing and uniqueness of meromorphic functions [J]. Complex Variables,2001,46 : 241-253.

引证文献1

数学物理学报（A辑）
2011年 第2期

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