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arxiv: 1005.5186 · v2 · submitted 2010-05-27 · 🧮 math.CA · math.CV

Discrete analogues of the Laguerre inequalities and a conjecture of I. Krasikov

classification 🧮 math.CA math.CV
keywords analoguesclassconjecturediscreteinequalitieskrasikovallowalong
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A conjecture of I. Krasikov is proved. Several discrete analogues of classical polynomial inequalities are derived, along with results which allow extensions to a class of transcendental entire functions in the Laguerre-P\'olya class.

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