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Some Subordination Criteria Concerning the Salagean Operator  
 
  Authors: Kazuo Kuroki, Shigeyoshi Owa,  
  Keywords: Janowski function, Starlike, Convex, Univalent, Subordination.  
  Date Received: 14/09/08  
  Date Accepted: 11/01/09  
  Subject Codes:

26D15.

  
  Editors: Hari M. Srivastava,  
 
  Abstract:

Applying Salagean operator, for the class $ \mathcal{A}$ of analytic functions $ f(z)$ in the open unit disk $ \mathbb{U}$ which are normalized by $ f(0)=f^{\prime}(0)-1=0$, the generalization of an analytic function to discuss the starlikeness is considered. Furthermore, from the subordination criteria for Janowski functions generalized by some complex parameters, some interesting subordination criteria for $ f(z)\in\mathcal{A}$ are given. ;


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