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  Volume 8, Issue 1, Article 16
 
On a Generalization of Alpha Convexity

    Authors: Khalida Inayat Noor,  
    Keywords: Starlike, Convex, Strongly alpha-convex, Bounded boundary rotation.  
    Date Received: 28/11/06  
    Date Accepted: 06/02/07  
    Subject Codes:

30C45, 30C50.

 
    Editors: Nak Eun Cho,  
 
    Abstract:

In this paper, we introduce and study a class $ $ tilde {M_k}($ alpha, $ beta , $ gamma ),$ $ k $ geq 2 $ of analytic functions defined in the unit disc. This class generalizes the concept of alpha-convexity and include several other known classes of analytic functions. Inclusion results, an integral representation and a radius problem is discussed for this class.

         
       
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