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A Coefficient Inequality For Certain Classes Of Analytic Functions Of Complex Order  
 
  Authors: K. Suchithra, B. Adolf Stephen, S. Sivasubramanian,  
  Keywords: Starlike functions of complex order, Convex functions of complex order, Subordination, Fekete-Szegö inequality  
  Date Received: 06/02/06  
  Date Accepted: 25/08/06  
  Subject Codes:

Primary 30C45.

  
  Editors: Gabriela Kohr,  
 
  Abstract:

In the present investigation, we obtain the Fekete-Szegö inequality for a certain normalized analytic function $ f(z)$ defined on the open unit disk for which $ 1 + frac{1}{b}left[frac{zf^prime(z) + alpha z^2f^{primeprime}(z)}{f(z)} - 1right]$ ( $ alpha geq 0$ and $ b neq 0$, a complex number) lies in a region starlike with respect to 1 and symmetric with respect to real axis. Also certain application of the main result for a class of functions of complex order defined by convolution is given. The motivation of this paper is to give a generalization of the Fekete-Szegö inequalities for subclasses of starlike functions of complex order.;


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