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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 82, Number 1, Pages 11–17 (Mi tmf5389)  
This article is cited in 9 scientific papers (total in 9 papers)

The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials

A. S. Zhedanov
Full-text PDF (715 kB) Citations (9)
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Abstract: Solutions of the Toda chain for which the operators of the Lax pair form a Lie algebra with three generators are found. The corresponding eigenvalue problem generates the classical orthogonal polynomials of Kravchuk, Meixner, Pollaczek, Laguerre, Charlier, and Hermite.
Received: 10.10.1988
English version:
Theoretical and Mathematical Physics, 1990, Volume 82, Issue 1, Pages 6–11
DOI: https://doi.org/10.1007/BF01028245
Bibliographic databases:
Language: Russian
Citation: A. S. Zhedanov, “The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials”, TMF, 82:1 (1990), 11–17; Theoret. and Math. Phys., 82:1 (1990), 6–11
Citation in format AMSBIB
\Bibitem{Zhe90}
\by A.~S.~Zhedanov
\paper The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials
\jour TMF
\yr 1990
\vol 82
\issue 1
\pages 11--17
\mathnet{http://mi.mathnet.ru/tmf5389}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1050293}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 82
\issue 1
\pages 6--11
\crossref{https://doi.org/10.1007/BF01028245}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DY17800002}
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  • https://www.mathnet.ru/eng/tmf/v82/i1/p11
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:487
    Full-text PDF :202
    References:70
    First page:1
     
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