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    STUDIA MATHEMATICA - Issue no. 3 / 2010  
         
  Article:   A CONVEXITY PROPERTY FOR AN INTEGRAL OPERATOR Fm.

Authors:  GEORGIA IRINA OROS, GHEORGHE OROS.
 
       
         
  Abstract:  In this paper we define an integral operator denoted by Fm(z) using the Ruscheweyh derivative of order n applied to the functions fi(z) Є A, I = {1, 2, ..., m}, z Є U. We determine conditions on the functions Rnfi(z), where Rn is the Ruscheweyh operator (Definition 1.1), in order for Fm(z) to be convex.

Key words and phrases. analytic function, univalent function, integral operator, convex function, starlike function, differential operator.
 
         
     
         
         
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