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文章基本信息

  • 标题:A Class of Harmonic Meromorphic Functions of Complex Order
  • 本地全文:下载
  • 作者:R. Ezhilarasi ; K.G. Subramanian ; T.V. Sudharsan
  • 期刊名称:Bonfring International Journal of Data Mining
  • 印刷版ISSN:2250-107X
  • 电子版ISSN:2277-5048
  • 出版年度:2012
  • 卷号:2
  • 期号:2
  • 页码:22-26
  • DOI:10.9756/BIJDM.1231
  • 语种:English
  • 出版社:Bonfring
  • 摘要:The seminal work of Clunie and Sheil-Small [3] on harmonic mappings gave rise to studies on subclasses of complex-valued harmonic univalent functions. In this paper a class of harmonic meromorphic functions of the form f(z)=h(z)+g(z),|z| > 1 of complex order is introduced. It is shown that the functions in this class are sense preserving and univalent outside the unit disk. Sufficient coefficient conditions are obtained for functions in this class which are also shown to be necessary when the co-analytic part g(z) has negative coefficients. We also obtain properties such as distortion bounds, extreme points, convolution and convex combination for this class.
  • 关键词:Harmonic Functions; Meromorphic Functions; Starlike Functions
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