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    STUDIA MATHEMATICA - Issue no. 2 / 2014  
         
  Article:   DIFFERENTIAL INEQUALITIES AND CRITERIA FOR STARLIKE AND CONVEX FUNCTIONS.

Authors:  .
 
       
         
  Abstract:   We, here, study a di fferential inequality involving a multiplier transformation. In particular, we obtain certain new criteria for starlikeness and convexity of normalized analytic functions. We also show that our results generalize some known results.

Mathematics Subject Classi fication (2010): 30C80, 30C45.
Keywords: Multiplier transformation, analytic function, starlike function, convex function.
 
         
     
         
         
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