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  Volume 4, Issue 1, Article 17
 
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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