JIPAM

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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