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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1997, Volume 4, Number 3, Pages 263–277 (Mi jmag460)  

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
Bibliographic databases:
Document Type: Article
Language: English
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
Citation in format AMSBIB
\Bibitem{AlbPasShc97}
\by S.~Albeverio, L.~A.~Pastur, M.~V.~Shcherbina
\paper On asymptotic properties of certain orthogonal polynomials
\jour Mat. Fiz. Anal. Geom.
\yr 1997
\vol 4
\issue 3
\pages 263--277
\mathnet{http://mi.mathnet.ru/jmag460}
\zmath{https://zbmath.org/?q=an:0897.33007}
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  • https://www.mathnet.ru/eng/jmag/v4/i3/p263
  • This publication is cited in the following 11 articles:
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