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  Volume 10, Issue 1, Article 17
 
The Alexander Transformation of a Subclass of Spirallike Functions of Type $ \beta$

    Authors: Qinghua Xu, Sanya Lu,  
    Keywords: Univalent functions, Starlike functions of order $lpha$, spirallike functions of type $eta$, Integral transformations.  
    Date Received: 13/08/08  
    Date Accepted: 27/12/08  
    Subject Codes:

30C45

 
    Editors: Gabriela Kohr,  
 
    Abstract:

In this paper, a subclass of spirallike function of type $ eta$ denoted by $ hat{S}_lpha^eta$ is introduced in the unit disc of the complex plane. We show that the Alexander transformation of class of $ hat{S}_lpha^eta$ is univalent when $ cosetaleq frac{1}{2(1-lpha)}$, which generalizes the related results of some authors.

         
       
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