journal6 ›› 2009, Vol. 30 ›› Issue (2): 22-25.

• 数学 • 上一篇    下一篇

2类p叶解析函数的卷积性质

  

  1. (怀化学院数学与应用数学系,湖南 怀化 418008)
  • 出版日期:2009-03-25 发布日期:2012-04-25
  • 作者简介:孙勇(1978-),男,湖南隆回人,硕士研究生,主要从事几何函数论研究.
  • 基金资助:

    湖南省教育厅科学研究项目(07C507)

Convolution Properties of Two Subclasses of p-Valent  Analytic Functions

  1. (Department of Mathematics and Applied Mathematics,Huaihua College,Huaihua  418008,Hunan China)
  • Online:2009-03-25 Published:2012-04-25

摘要:引进单位圆盘内p叶解析函数类M*p(n,α)和N*p(n,α),运用数学归纳法和Cauchy-Schwarz不等式导出了它们的卷积性质.

关键词: 解析函数, p叶函数, 卷积

Abstract: The subclasses  M*p(n,α) and Np(n,α) of p-valent analytic functions in open unit disk are introduced.The authors derive several convolution properties of them by applying certain techniques based upon the principle of mathematical induction and the Cauchy-Schwarz inequality.

Key words: analytic functions, p-valent functions, convolution

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