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On A Certain Class Of $p-$Valent Functions With Negative Coefficients  
 
  Authors: H. O. Guney, S. Sümer Eker,  
  Keywords: p-valent, Coefficient, Distortion, Closure, Starlike, Convex, Fractional calculus, Integral operators.  
  Date Received: 09/03/05  
  Date Accepted: 04/10/05  
  Subject Codes:

30C45, 30C50.

  
  Editors: Hari M. Srivastava,  
 
  Abstract:

In this paper, we introduce the class $ A_o^ast (p,A,B,alpha )$ of p-valent functions in the unit disc $ U=left{ { z : leftvert { z } rightvert< 1 } right}$. We obtain coefficient estimate, distortion and closure theorems, radii of close-to convexity, starlikeness and convexity of order $ delta left( { 0 leqslant delta < 1 } right)$ for this class. We also obtain class preserving integral operators for this class. Furthermore, various distortion inequalities for fractional calculus of functions in this class are also given.;


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