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    STUDIA MATHEMATICA - Issue no. 3 / 2010  
         
  Article:   A NOTE ON DIFFERENTIAL SUPERORDINATIONS USING A MULTIPLIER TRANSFORMATION AND RUSCHEWEYH DERIVATIVE.

Authors:  .
 
       
         
  Abstract:  In the present paper we define a new operator, by means of convolution product between Ruscheweyh operator and the multiplier transformation I(m, λ, l). For functions f belonging to the class An we define the differential operator where  is the class of normalized analytic functions. We study some differential superordinations regarding the operator

Key words and phrases. Differential superordination, convex function, best subordinant, differential operator.
 
         
     
         
         
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