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  Volume 10, Issue 2, Article 40
 
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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