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文章基本信息

  • 标题:On certain classes of close-to-convex functions
  • 本地全文:下载
  • 作者:Khalida Inayat Noor
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1993
  • 卷号:16
  • 期号:2
  • 页码:329-336
  • DOI:10.1155/S0161171293000390
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    A function f , analytic in the unit disk E and given by , f ( z ) = z + ∑ k = 2 ∞ a n z k is said to be in the family K n if and only if D n f is close-to-convex, where D n f = z ( 1 − z ) n + 1 ∗ f , n ∈ N 0 = { 0 , 1 , 2 , … } and ∗ denotes the Hadamard product or convolution. The classes K n are investigated and some properties are given. It is shown that K n + 1 ⫅ K n and K n consists entirely of univalent functions. Some closure properties of integral operators defined on K n are given.

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