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  • 标题:The zeros of difference of meromorphic solutions for the difference Riccati equation
  • 本地全文:下载
  • 作者:Chang-Wen Peng ; Zong-Xuan Chen
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:365
  • DOI:10.1186/s13662-015-0668-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we mainly investigate some properties of the transcendental meromorphic solution f ( z ) $f(z)$ for the difference Riccati equation f ( z + 1 ) = p ( z ) f ( z ) + q ( z ) f ( z ) + s ( z ) $f(z+1)=\frac{p(z)f(z)+q(z)}{f(z)+s(z)}$ . We obtain some estimates of the exponents of the convergence of the zeros and poles of f ( z ) $f(z)$ and the difference Δ f ( z ) = f ( z + 1 ) − f ( z ) $\Delta f(z)=f(z+1)-f(z)$ .
  • 关键词:difference Riccati equation ; Borel exceptional value ; admissible meromorphic solution
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