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    STUDIA MATHEMATICA - Issue no. 4 / 2011  
         
  Article:   THE UNIVALENCE AND THE CONVEXITY PROPERTIES FOR A NEW INTEGRAL OPERATOR.

Authors:  VIRGIL PESCAR.
 
       
         
  Abstract:  

For analytic functions f in the open unit disk U, an integral operator Ia, β is introduced. The object of the paper is to obtain the conditions of the univalence and the convexity of the integral operator Ia, β.

Mathematics Subject Classification (2010): 30C45.

Keywords: Integral operator, univalence, starlike, convexity.

 
         
     
         
         
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