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Some results on the asymptotic distribution of the zeros of orthogonal polynomials

✍ Scribed by Walter Van Assche


Book ID
107987748
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
494 KB
Volume
12-13
Category
Article
ISSN
0377-0427

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A note on asymptotic zero distribution o
✍ William F. Trench πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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