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A note on asymptotic zero distribution of orthogonal polynomials

✍ Scribed by William F. Trench

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
163 KB
Volume
375
Category
Article
ISSN
0024-3795

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✦ Synopsis

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 Tyrtyshnikov.

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