Bounds for extreme zeros of some classical orthogonal polynomials
โ Scribed by K. Driver; K. Jordaan
- Book ID
- 116613799
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 156 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
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
We define a region \(H_{\alpha, f}\) in the complex number field, where \(\alpha\) is a complex number, \(f(x) \in K[x]\) and \(f(\alpha) \neq 0\). The region \(H_{\alpha, f}\) contains no zeros of \(f(x)\) and is relatively easy to analyze. We analyze the region with respect to \(K=\mathbb{R}\) and