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    STUDIA MATHEMATICA - Issue no. 2 / 2009  
         
  Article:   A DIFFERENTIAL SANDWICH THEOREM FOR ANALYTIC FUNCTIONS DEFINED BY THE INTEGRAL OPERATOR.

Authors:  LUMINIȚA-IOANA COTÎRLĂ.
 
       
         
  Abstract:  

Let q1 and q2 be univalent in the unit disk U, with q1(0) =q2(0) = 1. We give an application of first order differential subordination to obtain sufficient condition for normalized analytic functions

 

to satisfy


where In is an integral operator.

Key words and phrases: integral operator, differential superordination, differential subordination

 
         
     
         
         
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