JIPAM

Neighborhoods of Certain Classes of Analytic Functions of Complex Order  
 
  Authors: G. Murugusundaramoorthy, Hari M. Srivastava,  
  Keywords: Analytic functions, Ruscheweyh derivatives, Starlike functions, Convex functions, $delta$-neighborhood, Inclusion relations.  
  Date Received: 30/01/04  
  Date Accepted: 02/02/04  
  Subject Codes:

30C45

  
  Editors: Themistocles M. Rassias,  
 
  Abstract:

By making use of the familiar concept of neighborhoods of analytic functions, the authors prove several inclusion relations associated with the $ (n,delta )$-neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Ruscheweyh derivatives. Special cases of some of these inclusion relations are shown to yield known results.;


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