Representations for the extreme zeros of
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Erik A. van Doorn; Nicky D. van Foreest; Alexander I. Zeifman
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Article
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2009
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Elsevier Science
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English
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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 de