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Iterated Turan and Laguerre Inequalities  
 
  Authors: Thomas Craven, George Csordas,  
  Keywords: Laguerre-Pólya class, Multiplier sequence, Hankel matrix, Real zeros.  
  Date Received: 12/09/01  
  Date Accepted: 15/03/02  
  Subject Codes:

26D05,26C10,30C15

 
  Editors: Kenneth B. Stolarsky,  
 
  Abstract:

New inequalities are investigated for real entire functions in the Laguerre-Pólya class. These are generalizations of the classical Turán and Laguerre inequalities. They provide necessary conditions for certain real entire functions to have only real zeros.;



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