Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (2): 142-151.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.004

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Majorization Results and Coefficients Bounds for a Class of Univalent Functions Associated with Operator

  

  1. School of Mathematics and Statistics, Wuhan University.  Engineering and Technical College, Chengdu University of Technology
  • Received:2014-08-15 Online:2017-06-30 Published:2020-10-23
  • About author:XIONG Liang-peng(1983-), male, native of Wuhan, Hubei, a lecturer of Chengdu University of Technology, Ph.D., engages in complex analysis and applications.
  • Supported by:
    Supported by the Scientific Research Found of Education Department of Sichuan Province(14ZB0364);

Abstract: In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on |a2| and |a3| for functions in*n,G∑ a,λ(A1, B1, A2, B2, α1, α2), which is the bi-univalent functions defined by n,G ∑a,λ(A, B, α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed. 

Key words: analytic functions, integral operator, majorization, subordination, bi-univalent functions

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