JIPAM

Some Subordination Results Associated with Certain Subclasses of Analytic Functions  
 
  Authors: Hari M. Srivastava, A.A. Attiya,  
  Keywords: Analytic functions, Univalent functions, Convex functions, Subordination principle, Hadamard product (or convolution), Subordinating factor sequence  
  Date Received: 01/06/04  
  Date Accepted: 21/07/04  
  Subject Codes:

Primary 30C45; Secondary 30A10, 30C80.

  
  Editors: Gradimir V. Milovanovic,  
 
  Abstract:

For functions belonging to each of the subclasses $mathcal{M}^{ast }left( alpha right) $ and $mathcal{N}^{ast }left( alpha right) $ of normalized analytic functions in the open unit disk $mathbb{U}$, which are investigated in this paper when $alpha>1,$ the authors derive several subordination results involving the Hadamard product (or convolution) of the associated functions. A number of interesting consequences of some of these subordination results are also discussed.;


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