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Mathematics of the USSR-Sbornik, 1986, Volume 53, Issue 1, Pages 233–260
DOI: https://doi.org/10.1070/SM1986v053n01ABEH002918 (Mi sm2080) 		 
This article is cited in 85 scientific papers (total in 86 papers)

Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices

A. I. Aptekarev
English version PDF (1231 kB) Citations (86) Russian version article
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DOI: https://doi.org/10.1070/SM1986v053n01ABEH002918
Abstract: An expression in the form of a Riemann theta-function is obtained for the asymptotic behavior of polynomials orthogonal on a system of contours. Properties of a limit-periodic discrete Sturm–Liouville operator and the dynamics of a periodic Toda lattice are considered as a consequence of the asymptotic formulas obtained.
Figures: 2.
Bibliography: 21 titles.
Received: 16.06.1983
Bibliographic databases:
UDC: 517.51+517.9+530.145
MSC: Primary 30E15, 34C25, 42C05; Secondary 14K25, 34A34, 34B25
Language: English
Original paper language: Russian
Citation: A. I. Aptekarev, “Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices”, Math. USSR-Sb., 53:1 (1986), 233–260
Citation in format AMSBIB
\Bibitem{Apt84}
\by A.~I.~Aptekarev
\paper Asymptotic properties of polynomials orthogonal on a~system of contours, and periodic motions of Toda lattices
\jour Math. USSR-Sb.
\yr 1986
\vol 53
\issue 1
\pages 233--260
\mathnet{http://mi.mathnet.ru//eng/sm2080}
\crossref{https://doi.org/10.1070/SM1986v053n01ABEH002918}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=764479}
\zmath{https://zbmath.org/?q=an:0608.42016}
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  • https://www.mathnet.ru/eng/sm/v167/i2/p231
    • This publication is cited in the following 86 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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