数学季刊 ›› 2014, Vol. 29 ›› Issue (2): 257-264.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.016

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由广义乘子变换定义的几个解析函数类的性质

  

  1. 1. Foundation Department, Guangzhou Civil Aviation College 2. Foundation Department, Chuzhou Vocational and Technical College

  • 收稿日期:2012-10-25 出版日期:2014-06-30 发布日期:2023-04-10
  • 作者简介:LI Zong-tao(1970-), male, native of Taian, Shandong, a lecturer of Guangzhou Civil Aviation College, M.S.D., engages in theory of functions; GUO Dong(1976-), male, native of Linyi, Shandong, a lecturer of Chuzhou Vocational and Technical College, M.S.D., engages in complex analysis.
  • 基金资助:
    Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2012Z300)

Properties for Certain Subclasses of Analytic Functions Associated with Generalized Multiplier Transformation

  1. 1. Foundation Department, Guangzhou Civil Aviation College 2. Foundation Department, Chuzhou Vocational and Technical College

  • Received:2012-10-25 Online:2014-06-30 Published:2023-04-10
  • About author:LI Zong-tao(1970-), male, native of Taian, Shandong, a lecturer of Guangzhou Civil Aviation College, M.S.D., engages in theory of functions; GUO Dong(1976-), male, native of Linyi, Shandong, a lecturer of Chuzhou Vocational and Technical College, M.S.D., engages in complex analysis.
  • Supported by:
    Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2012Z300)

摘要: In this paper, we introduce certain new subclasses of analytic functions defined by generalized multiplier transformation. By using the differential subordination, we study and investigate various inclusion properties of these classes. Also inclusion properties of these classes involving the integral operator are considered.

关键词: analytic functions, subordination, convolution, multiplier transformation, inclusion properties

Abstract: In this paper, we introduce certain new subclasses of analytic functions defined by generalized multiplier transformation. By using the differential subordination, we study and investigate various inclusion properties of these classes. Also inclusion properties of these classes involving the integral operator are considered.
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Key words: analytic functions, subordination, convolution, multiplier transformation, inclusion properties

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