JIPAM

Coefficient Inequalities for Certain Classes of Meromorphically Starlike and Meromorphically Convex Functions  
 
  Authors: Shigeyoshi Owa, Nicolae N. Pascu,  
  Keywords: Meromorphic functions, Univalent functions, Starlike functions, Convex functions.  
  Date Received: 27/11/02  
  Date Accepted: 17/01/03  
  Subject Codes:

30C45

  
  Editors: Hari M. Srivastava,  
 
  Abstract:

Let $Sigma _{r}$ be the class of meromorphic functions $f(z)$ in $mathbb{D}%% _{r}$ with a simple pole at the origin. Two subclasses $T_{r}^{ast }(alpha )$ and $mathcal{C}_{r}(alpha )$ of $Sigma _{r}$ are considered. Some coefficient properties of functions $f(z)$ to be in the classes $T_{r}^{ast }(alpha )$ and $mathcal{C}_{r}(alpha )$ of $Sigma _{r}$ are discussed. Also, the starlikeness and the convexity of functions $f(z)$ in $Sigma _{r}$ are discussed.;


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