期刊文献+

On growth,zeros and poles of meromorphic solutions of linear and nonlinear difference equations 被引量:30

On growth,zeros and poles of meromorphic solutions of linear and nonlinear difference equations
原文传递
导出
摘要 Abstract In this paper, we study the order of the growth and exponents of convergence of zeros and poles of meromorphic solutions of some linear and nonlinear difference equations which have admissible meromorphic solutions of finite order. In this paper,we study the order of the growth and exponents of convergence of zeros and poles of meromorphic solutions of some linear and nonlinear difference equations which have admissible meromorphic solutions of finite order.
作者 CHEN ZongXuan
出处 《Science China Mathematics》 SCIE 2011年第10期2123-2133,共11页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 10871076)
关键词 nonlinear difference equation linear difference equation order of growth ZERO POLE 非线性差分方程 亚纯解 经济增长 极点 有限阶 零点
  • 相关文献

参考文献2

二级参考文献19

  • 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) 被引量:1
  • 2Alexandre Eremenko,Jim Langley,John Rossi.On the zeros of meromorphic functions of the formf(z)=Σ k=1 ∞ a k/z?z k[J]. Journal d’Analyse Mathematique . 1994 (1) 被引量:1
  • 3W. K. Hayman.Slowly growing integral and subharmonic functions[J]. Commentarii Mathematici Helvetici . 1960 (1) 被引量:1
  • 4Laine I,Yang C C.Clunie theorems for di-erence and q-di-erene polynomials. Journal of the London Mathematical Society . 2007 被引量:1
  • 5Hinchli-e J D.The Bergweiler-Eremenko theorem for -nite lower order. Results in Mathematics . 2003 被引量:1
  • 6Clunie J,Eremenko A,Rossi J.On equilibrium points of logarithmic and Newtonian potentials. Journal of the London Mathematical Society . 1993 被引量:1
  • 7Bergweiler W,Eremenko A.On the singularities of the inverse to a meromorphic function of finite order. Revista Matematica Iberoamericana . 1995 被引量:1
  • 8Hayman W.The local growth of power series: a survey of the Wiman-Valiron method. Canadian Mathematical Bulletin . 1974 被引量:1
  • 9R.G. Halburd,R.J. Korhonen.Nevanlinna theory for the difference operator. Ann. Acad. Sci. Fenn. Math . 2006 被引量:1
  • 10J. Heittokangas,R. Korhonen,I. Laine,J. Rieppo,K. Tohge.Complex difference equations of Malmquist type. Comput. Methods Funct. Theory . 2001 被引量:1

共引文献25

同被引文献39

引证文献30

二级引证文献39

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