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  Volume 9, Issue 4, Article 91
 
Turán Inequalities and Subtraction-free Expressions

    Authors: David A. Cardon, Adam Rich,  
    Keywords: Turán inequalities, Subtraction-free expressions, Riemann zeta function, Zero-free region.  
    Date Received: 01/01/2008  
    Date Accepted: 29/06/2008  
    Subject Codes:

11M26, 30C15, 26D10.

 
    Editors: Qazi Ibadur Rahman,  
 
    Abstract:

By using subtraction-free expressions, we are able to provide a new proof of the Turán inequalities for the Taylor coefficients of a real entire function when the zeros belong to a specified sector.

         
       
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