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    STUDIA MATHEMATICA - Issue no. 4 / 2010  
         
  Article:   ON A CLASS OF ANALYTIC AND MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY AL-OBOUDI DIFFERENTIAL OPERATOR.

Authors:  . 		 
       
         
  Abstract:  In this paper, we introduce a new class of analytic functions defined by Al-Oboudi differential operator. For the functions belonging to this class, we obtain coefficient inequalities, Hadamard product, radii of close-to convexity, starlikeness and convexity, extreme points, the integral means inequalities for the fractional derivatives, and further we give distortion theorems using fractional calculus techniques.

Key words and phrases. Analytic function, Hadamard product, Close-to convex function, Starlike function, Convex function, Extreme points, Subordination, Fractional calculus, Distortion theorem, Al-Oboudi operator. 

  
         
     
         
         
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