Inequalities for real-root polynomials and entire functions

William H. Foster, Ilia Krasikov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We investigate higher-degree analogues of the Laguerre inequality p′2 - pp″ ≥ 0, of the form only real roots and also for a class of entire functions. Some applications to orthogonal polynomials are given.

Original languageEnglish
Pages (from-to)102-114
Number of pages13
JournalAdvances in Applied Mathematics
Issue number1
StatePublished - Jul 2002
Externally publishedYes


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