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  Volume 10, Issue 4, Article 101
 
A Convolution Approach on Partial Sums of Certain Analytic and Univalent Functions
    Authors: K. K. Dixit, Saurabh Porwal,  
    Keywords: Analytic functions, Univalent functions, Convolution, Partial Sums.  
    Date Received: 03/05/2009  
    Date Accepted: 28/09/2009  
    Subject Codes:

30C45.

  
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this paper, we determine sharp lower bounds for $ mathop{ rm Re} nolimits left { frac{f left(z right)* psi left(z right)}{f_{n} left(z right)* psi left(z right)} right }$ and $ mathop{ rm Re} nolimits left { frac{f_{n} left(z right)* psi left(z right)}{f left(z right)* psi left(z right)} right }$. We extend the results of ([1] - [5]) and correct the conditions for the results of Frasin [2, Theorem 2.7], [1, Theorem 2], Rosy et al. [4, Theorems 4.2 and 4.3], as well as Raina and Bansal [3, Theorem 6.2].

         
       
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