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Sharp bounds for the extreme zeros of classical orthogonal polynomials

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Academic Press Inc. Elsevier B.V.

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Abstract

Bounds for the extreme zeros of the classical orthogonal polynomials are obtained by a surprisingly simple method. Nevertheless, it turns out that, in most cases, the estimates obtained in this note are better than the best limits known in the literature. (C) 2009 Elsevier B.V. All rights reserved.

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Extreme zeros, Classical orthogonal polynomials, Sharp bounds

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English

Citation

Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 162, n. 10, p. 1793-1804, 2010.

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