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Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature

✍ Scribed by A. Deaño; D. Huybrechs; A.B.J. Kuijlaars

Book ID
108159123
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
405 KB
Volume
162
Category
Article
ISSN
0021-9045

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📜 SIMILAR VOLUMES

A note on asymptotic zero distribution o
A note on asymptotic zero distribution of orthogonal polynomials
✍ William F. Trench 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 163 KB

We strengthen a theorem of Kuijlaars and Serra Capizzano on the distribution of zeros of a sequence of orthogonal polynomials {p n } ∞ n=1 for which the coefficients in the three term recurrence relation are clustered at finite points. The proof uses a matrix argument motivated by a theorem of Tyrty