JIPAM

On the Univalency of Certain Analytic Functions  
 
  Authors: Zhi-Gang Wang, Chun-Yi Gao, Shao-Mou Yuan,  
  Keywords: Univalency; extreme point; bound.  
  Date Received: 20/04/05  
  Date Accepted: 03/09/05  
  Subject Codes:

Primary 30C45.

  
  Editors: Hari M. Srivastava,  
 
  Abstract:

Let $ Q(alpha,beta,gamma)$ denote the class of functions of the form $ f(z)=z+a_{2}z^{2}+cdots$, which are analytic in the unit disk

$displaystyle Re{alpha(f(z)/z)+beta f^{prime}(z)}>gamma (alpha,beta>0; 0leqgamma</TD> <TD NOWRAP WIDTH=

The extreme points for this class are provided, the coefficient bounds and radius of univalency for functions belonging to this class are also provided. The results presented here include a number of known results as their special cases. ;


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