JIPAM

On a Certain Subclass of Starlike Functions with Negative Coefficients  
 
  Authors: A.Y. Lashin,  
  Keywords: Univalent functions, Starlike functions, Integral means, Neighborhoods, Partial sums.  
  Date Received: 11/12/07  
  Date Accepted: 29/05/09  
  Subject Codes:

30C45.

 
  Editors: Sever S. Dragomir,  
 
  Abstract:

We introduce the class $ overline{H}(lpha ,eta )$ of analytic functions with negative coefficients. In this paper we give some properties of functions in the class $ overline{H}(lpha ,eta )$ and we obtain coefficient estimates, neighborhood and integral means inequalities for the function $ f(z)$ belonging to the class $  overline{H}(lpha ,eta ).$ We also establish some results concerning the partial sums for the function $ f(z)$ belonging to the class $ overline{H}(lpha ,eta )$. ;



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