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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1997, Volume 4, Number 3, Pages 263–277
(Mi jmag460)
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This article is cited in 11 scientific papers (total in 11 papers)
On asymptotic properties of certain orthogonal polynomials
S. Albeverioa, L. A. Pasturbc, M. V. Shcherbinad a Fakultät und Institut für Mathematik, Ruhr Universität Bochum, Germany; SFB 237 (Essen-Bochum-Düsseldorf)
b Université Paris 7, 2, Place Jussieu, F-75251, Paris, Cedex 05, France
c Universität Bielefeld Postfach, 10031 33501 Bielefeld, CERFIM (Locarno)
d Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering,
National Academy of Sciences of Ukraine, 47 Lenin Ave., 310164, Kharkov, Ukraine
Abstract:
We compute the asymptotic distribution of zeros and the weak limit of orthogonal polynomials on the whole line whose weight contains a large parameter in the exponent. The techniques used and the results are motivated by recent studies on the eigenvalue statistics of random matrices.
Received: 29.11.1995
Citation:
S. Albeverio, L. A. Pastur, M. V. Shcherbina, “On asymptotic properties of certain orthogonal polynomials”, Mat. Fiz. Anal. Geom., 4:3 (1997), 263–277
Linking options:
https://www.mathnet.ru/eng/jmag460 https://www.mathnet.ru/eng/jmag/v4/i3/p263
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