JIPAM logo: Home Link
 
Home Editors Submissions Reviews Volumes RGMIA About Us
 

   
  Volume 5, Issue 2, Article 28
 
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.

         
       
  Download Screen PDF
  Download Print PDF
  Send this article to a friend
  Print this page
 

      search [advanced search] copyright 2003 terms and conditions login