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    STUDIA MATHEMATICA - Issue no. 2 / 2013  
         
  Article:   CERTAIN SUBCLASSES OF UNIFORMLY HARMONIC β-STARLIKE FUNCTIONS OF COMPLEX ORDER.

Authors:  .
 
       
         
  Abstract:  

In this paper, we introduce a family of harmonic parabolic starlike functions of complex order in the unit disc and coefficient bounds, distortion bounds, extreme points, convolution conditions and convex combination are determined for functions in this family. Further results on integral transforms are discussed.Consequently, many of our results are either extensions or new approaches to those corresponding previously known results.

Mathematics Subject Classification (2010): 30C45.

Keywords: Harmonic functions, univalent functions, starlike functions, convolution (or Hadamard) product.

 
         
     
         
         
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