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  Volume 7, Issue 1, Article 20
 
Subordination Results for the Family of Uniformly Convex $p-$valent Functions

    Authors: H.A. Al-Kharsani, S.S. Al-Hajiry,  
    Keywords: $p-$valent, Uniformly convex functions, Subordination.  
    Date Received: 16/05/05  
    Date Accepted: 02/10/05  
    Subject Codes:

30C45.

 
    Editors: Gabriela Kohr,  
 
    Abstract:

The object of the present paper is to introduce a class of $ p-$valent uniformly functions $ UCV_{p}$. We deduce a criteria for functions to lie in the class $ UCV_{p}$ and derive several interesting properties such as distortion inequalities and coefficients estimates. We confirm our results using the Mathematica program by drawing diagrams of extremal functions of this class.

         
       
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