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    STUDIA MATHEMATICA - Issue no. 3 / 2018  
         
  Article:   FEKETE-SZEGÖ PROBLEMS FOR GENERALIZED SAKAGUCHI TYPE FUNCTIONS ASSOCIATED WITH QUASI-SUBORDINATION.

Authors:  TRAILOKYA PANIGRAHI, RAVINDER KRISHNA RAINA.
 
       
         
  Abstract:  
In the present paper, the authors introduce a generalized Sakaguchi type non-Bazilevic function class Mλ,β q (φ,s,t) of analytic functions involving quasi-subordination and obtain bounds for the Fekete-Szegö functional |a3−µa2 2| for the functions belonging to the above and associated classes. Some important and useful special cases of the main results are also pointed out.

Mathematics Subject Classification (2010): 30C45, 33C50, 30D60. Keywords: Analytic functions, subordination, quasi-subordination, Fekete-Szegö inequality, Sakaguchi functions.

 
         
     
         
         
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