Representations for the extreme zeros of orthogonal polynomials

Erik A. van Doorn, N.D. van Foreest, Alexander I. Zeifman

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    8 Citations (Scopus)
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    We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the decay parameter of a birth death process (with killing) are displayed.
    Original languageEnglish
    Pages (from-to)847-851
    Number of pages5
    JournalJournal of computational and applied mathematics
    Issue number3
    Publication statusPublished - 2009


    • Three-terms recurrence relation
    • EWI-15998
    • MSC-60J80
    • MSC-42C05
    • Interval of orthogonality
    • IR-67864
    • Birth-death process
    • Decay parameter
    • METIS-263992


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