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

关于一类复差分方程的亚纯解 被引量：7

On Meromorphic Solutions to a Type of Complex Difference Equations
下载PDF
导出
摘要 研究了具有允许的亚纯解的复差分方程的形式以及系数的级与解的级两者的关系,得到了两个结果.将复微分方程中一些结果推广至复差分方程. The author investigates the form of complex difference equation with admissible meromorphic solutions and the relation between the order of solutions and the order of coefficients of complex difference equation, and obtains two results. Some results in complex differential equations are extended to complex difference equations.
作者 高凌云
机构地区 暨南大学数学系
出处 《数学年刊（A辑）》 CSCD 北大核心 2014年第2期193-202,共10页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.10471065) 广东省自然科学基金(No.04010474)的资助
关键词 亚纯解 复差分方程 值分布 Meromorphic solution, Complex difference equations, Value distri-bution
分类号 O174.52 [理学—基础数学]
  • 相关文献

参考文献6

二级参考文献66

  • 1高凌云.ON THE GROWTH OF SOLUTIONS OF HIGHER-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2002,22(4):459-465. 被引量：6
  • 2Hayman W K. Meromorphic Functions. Oxford: Clarendon Press, 1964.
  • 3Bank S, Kaufman R. On meromorphic solutions of first-order differential equations. Comment Math Helv, 1976, 51:289-299.
  • 4Barsegian G. Estimates of derivatives of meromorphic functions on set of a-points. J London Math Soc, 1986, 34(2): 534 -540.
  • 5He Yuzan, Xiao Xuizhi. Algebroid functions and ordinary differential equation (in Chinese). Beijing: Science Press, 1988.
  • 6Barsegian G. On a method of study of algebraic differential equations. Bull Hong Kong Math Soc, 1998, 2:159-164.
  • 7Gol'dberg A A. On single-wlued solutions of algebraic differential equations. Ukrain Mat Zh, 1956, 8: 254 261.
  • 8Hayman W K.The growth of solutions of algebraic differential equations. Rend Mat Acc Lincei, 1996, 7: 67-73.
  • 9Bergweiler W. On a theorem of Gol'dberg concerning meromorphic solutions of algebraic differential equa- tions. Complex Variables, 1998, 37:93 -96.
  • 10Frank G, Wang Yuefei. On the meromorphic solutions of algebraic differential equations. Analysis, 1998, 18:49-54.

共引文献73

同被引文献28

  • 1高凌云.复微分方程组的超越解[J].数学学报（中文版）,2015,58(1):41-48. 被引量：3
  • 2Yik-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)
  • 3Chung-Chun Yang,Ilpo Laine.On analogies between nonlinear difference and differential equations. Proc. Japan Acad., Ser. A . 2010
  • 4R.G. Halburd,R.J. Korhonen.??Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations(J)Journal of Mathematical Analysis and Applications . 2005 (2)
  • 5Laine I.Nevanlinna Theory and Complex Differential Equations. . 1993
  • 6WEISSENBORN G.On the theorem of Tumura and Clunie. The Bulletin of the London Mathematical Society . 1986
  • 7Janne Heittokangas,Risto Korhonen,Ilpo Laine,Jarkko Rieppo,Kazuya Tohge.??Complex Difference Equations of Malmquist Type(J)Computational Methods and Function Theory . 2001 (1)
  • 8Ilpo Laine,Jarkko Rieppo,Heli Silvennoinen.??Remarks on Complex Difference Equations(J)Computational Methods and Function Theory . 2005 (1)
  • 9Risto Korhonen.??A new Clunie type theorem for difference polynomials(J)Journal of Difference Equations and Applications . 2011 (3)
  • 10高凌云.THE GROWTH OF SOLUTIONS OF SYSTEMS OF COMPLEX NONLINEAR ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2010,30(3):932-938. 被引量：19

引证文献7

二级引证文献6

数学年刊（A辑）
2014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