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  • 标题:Zeros and fixed points of the linear combination of shifts of a meromorphic function
  • 本地全文:下载
  • 作者:Weiwei Cui ; Lianzhong Yang ; Xiaoguang Qi
  • 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:281
  • DOI:10.1186/s13662-015-0632-2
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Let f be transcendental and meromorphic in the complex plane. In this article, we investigate the existences of zeros and fixed points of the linear combination and quotients of shifts of f ( z ) $f(z)$ when f ( z ) $f(z)$ is of order one. We also prove a result concerning the linear combination which extends a result of Bergweiler and Langley. Some results concerning the order of f ( z ) < 1 $f(z) <1$ are also obtained.
  • 关键词:entire functions ; meromorphic functions ; complex difference ; fixed points ; zeros ; shift
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