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  Volume 4, Issue 5, Article 102
Convex Functions in a Half-plane

    Authors: Nicolae N. Pascu, Nicolae R. Pascu,  
    Keywords: Univalent function, Convex function, Half-plane.  
    Date Received: 24/03/03  
    Date Accepted: 16/08/03  
    Subject Codes:


    Editors: Hari M. Srivastava,  

The class of convex hydrodynamically normalized functions in a half-plane was introduced by J. Stankiewicz. In this paper we introduce the general class of convex functions in the upper half-plane D (not necessarily hydrodynamically normalized) and we obtain necessary and sufficient conditions for an analytic function in D, to be convex univalent in D.

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