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  Volume 3, Issue 1, Article 9
 
On Harmonic Functions by the Hadamard Product

    Authors: Metin Öztürk, Sibel Yalçin, Mümin Yamankaradeniz,  
    Keywords: Harmonic functions, Hadamard product, Extremal problems.  
    Date Received: 11/05/01  
    Date Accepted: 11/10/01  
    Subject Codes:

30C45,31A05.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

A function $f=u+iv$ defined in the domain $Dsubset Bbb{C}$ is harmonic in $%% D$ if $u$, $v$ are real harmonic. Such functions can be represented as $%% f=h+bar g$ where $h$, $g$ are analytic in $D$. In this paper the class of harmonic functions constructed by the Hadamard product in unit disk, and properties of some of its subclasses are searched.

         
       
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