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  Volume 10, Issue 1, Article 8
 
Differential Subordination Results for New Classes of the Family $ \mathcal{E}( \Phi, \Psi)$

    Authors: Rabha W. Ibrahim, Maslina Darus,  
    Keywords: Fractional calculus; Subordination; Hadamard product.  
    Date Received: 05/07/08  
    Date Accepted: 02/12/08  
    Subject Codes:

34G10, 26A33, 30C45.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

We define new classes of the family $ mathcal{E}(Phi,Psi),$ in a unit disk $ Re {frac{F(z) st Phi(z)}{F(z) st Psi(z)}}> 0,     z   in U,    F(z) st Psi(z)<br />eq 0$ where the operator $ *$ denotes the convolution or Hadamard product. Moreover, we establish some subordination results for these new classes.

         
       
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