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

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

2010-05-27

arxiv.org/abs/1005.5186v2

Mathematics

Classical Analysis and ODEs

Scientific paper

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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