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Volume 3, Issue 3, Article 39 |
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Iterated Turan and Laguerre Inequalities
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Authors: |
Thomas Craven, George Csordas, |
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Keywords:
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Laguerre-Pólya class, Multiplier sequence, Hankel matrix, Real zeros. |
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Date Received:
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12/09/01 |
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Date Accepted:
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15/03/02 |
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Subject Codes: |
26D05,26C10,30C15
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Editors: |
Kenneth B. Stolarsky, |
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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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