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    STUDIA MATHEMATICA - Issue no. 3 / 2010  
         
  Article:   ON ORDER OF CONVOLUTION CONSISTENCE OF THE ANALYTIC FUNCTIONS.

Authors:  .
 
       
         
  Abstract:  In this paper we consider the convolution of certain classes of analytic functions. We discuss when it is in a given class. By means of the Sălăgean integral operator we define a constant S which describes a measure of convolution consistence of three classes. We shall examine some special families for which we can determine the order of convolution consistence.

Key words and phrases. Hadamard product, integral convolution, k-starlike functions, k-uniformly convex functions, order of convolution consistence, Sălăgean integral operator, starlike functions, convex functions, functions with positive real part.
 
         
     
         
         
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