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An Inequality About $_3phi_2$ and its Applications  
 
  Authors: Mingjin Wang, Hongshun Ruan,  
  Keywords: Basic hypergeometric function $_3phi_2$; $q$-binomial theorem; $q$-Chu-Vandermonde formula; Gruss inequality.  
  Date Received: 17/08/07  
  Date Accepted: 18/05/08  
  Subject Codes:

Pri: 26D15; Sec: 33D15.

  
  Editors: Sever S. Dragomir,  
 
  Abstract:

In this paper, we use the terminating case of the $ q$-binomial formula, the $ q$-Chu-Vandermonde formula and the Grüss inequality to drive an inequality about $ _{3}phi_2$. As applications of the inequality, we discuss the convergence of some $ q$-series involving $ _{3}phi_2$. ;


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