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An Application of Subordination on Harmonic Function  
 
  Authors: H.A. Al-Kharsani,  
  Keywords: Harmonic, Univalent, Subordination, Convex, Starlike, Close-to-convex.  
  Date Received: 28/06/06  
  Date Accepted: 15/05/07  
  Subject Codes:

Pri 30C45; Sec 58E20.

  
  Editors: Anthony Sofo,  
 
  Abstract:

The purpose of this paper is to obtain sufficient bound estimates for harmonic functions belonging to the classes $ S^*_ H[A,B], K_H[A,B]$ defined by subordination, and we give some convolution conditions. Finally, we examine the closure properties of the operator $ D^n$ on these classes under the generalized Bernardi integral operator. ;


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