JIPAM

Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators  
 
  Authors: I.B. Bapna, R.K. Raina,  
  Keywords: Analytic functions, Multivalent functions, Starlike functions, Convex functions, Fractional calculus operators.  
  Date Received: 25/07/2003  
  Date Accepted: 09/02/2004  
  Subject Codes:

30C45, 26A33.

  
  Editors: Nak Eun Cho,  
 
  Abstract:

Making use of a certain fractional calculus operator, we introduce two new subclasses $ M_{delta }(p;lambda ,mu ,eta )$ and $ T_{delta }(p;lambda ,mu ,eta )$ of analytic and $ p-$valent functions in the open unit disk. The results investigated exhibit the sufficiency conditions for a function to belong to each of these classes. Several geometric properties of such multivalent functions follow, and these consequences are also mentioned.;


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