JIPAM

Certain Sufficiency Conditions on Gaussian Hypergeometric Functions  
 
  Authors: Anbhu Swaminathan,  
  Keywords: Gaussian hypergeometric functions, Convex functions, Starlike functions  
  Date Received: 20/02/04  
  Date Accepted: 19/06/04  
  Subject Codes:

30C45, 33C45, 33A30

  
  Editors: Herb Silverman,  
 
  Abstract:

The author aims at finding certain conditions on $a, b$ and $c$ such that the normalized Gaussian hypergeometric function $zF(a,b;c;z)$ given by begin{equation*} F(a,b;c;z)=sum_{n=0}^{infty} frac{(a,n)(b,n)}{(c,n)(1,n)}z^n, quad vert zvert1, end{equation*} is in certain subclasses of analytic functions. A particular operator acting on $F(a,b;c;z)$ is also discussed.;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=428