期刊文献+

涉及周期移动超平面的全纯曲线差分形式的第二基本定理

A Second Main Theorem for Holomorphic Curves Intersecting Periodic Moving Hyperplanes Concerning Difference Operators
下载PDF
导出
摘要 利用全纯映射的值分布理论和对数导数引理,在已有的处于次一般位置的全纯曲线关于差分算子的第二基本定理的基础上,研究了涉及逐点处于次一般位置的周期移动超平面的全纯曲线关于差分算子的第二基本定理,推广了第二基本定理并得到了相应的结论. Using the holomorphic mapping value distribution theory and the logarithmic derivative lemma and on the basis of the predecessors' second main theorems concerning differential operators,where the holomorphic curves are in sub general positions, the second main theorem for holomorphic curves intersecting periodic moving hyperplanes concerning difference operators in pointwise Nsubgeneral position, was put forward. The second main theorem was generalized and the corresponding conclusions were presented.
作者 蒋静云 刘晓俊 JIANG Jingyun;LlU Xiaojun(Collge of Science, University of Shanghai for Science and Technology, Shanghai 200093, Chin)
出处 《上海理工大学学报》 CAS 北大核心 2018年第2期110-115,共6页 Journal of University of Shanghai For Science and Technology
基金 国家自然科学基金青年基金资助项目(11401381)
关键词 全纯曲线 Nochka权重 N-subgeneral位置 周期移动超平面 holomorphic curve Nochka weight N-subgeneral position periodic moving hyperplane
  • 相关文献

参考文献1

二级参考文献8

  • 1Yik-Man Chiang,Shao-Ji Feng.On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane[J]. The Ramanujan Journal . 2008 (1)
  • 2Wong P M.Applications of Nevanlinna theory to geometric problems. Proceedings of the Third Inter- national Conference of Chinese Mathematicians,2004 . 2008
  • 3Wong P P M,Wong P W.The Second Main Theorem on generalized parabolic manifolds. . 2006
  • 4S. Lang.Introduction to Complex Hyperbolic Spaces. . 1987
  • 5Wong,P. M.,Stoll,W.Second main theorem of Nevanlinna theory for non-equidimensional meromorphic maps. American Journal of Mathematics . 1994
  • 6Wong P M.On the second main theorm of Nevanlinna theory. American Journal of Mathematics . 1989
  • 7Y. M. Chiang,S. J. Feng.On the Nevanlinna characteristic of f(z + n) and difference equations in the complex plane. The Ramanujan Journal . 2008
  • 8R. G. Halburd,R. J. Korhonen.Nevanlinna theory for the difference operator. Ann. Acad. Sci. Fenn . 2006

共引文献1

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