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Part of the book series: CMS Books in Mathematics ((CMSBM))

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Abstract

Recall that given a weight W 2 on the finite or infinite interval I = (c, d), its nth orthonormal polynomial p n (W 2,x) has zeros \( \left\{ {{x_{{jn}}}} \right\}\begin{array}{*{20}{c}} n \hfill \\ {j = 1} \hfill \\ \end{array} , \), where

$$ c < {x_{{nn}}} < {x_{{n - 1,n}}} < \cdot \cdot \cdot < {x_{{2n}}}{ < _{{1n}}} < d. "$$

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© 2001 Springer Science+Business Media New York

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Levin, E., Lubinsky, D.S. (2001). Zeros of Orthogonal Polynomials. In: Orthogonal Polynomials for Exponential Weights. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0201-8_11

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  • DOI: https://doi.org/10.1007/978-1-4613-0201-8_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6563-4

  • Online ISBN: 978-1-4613-0201-8

  • eBook Packages: Springer Book Archive

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