Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (2): 257-264.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.016

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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)

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.
77.6

Key words: analytic functions, subordination, convolution, multiplier transformation, inclusion properties

CLC Number: