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Matematicheskie Zametki, 2022, Volume 112, Issue 4, Pages 613–624
DOI: https://doi.org/10.4213/mzm13733 (Mi mzm13733) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic Solutions of the Discrete Painlevé Equation of Second Type

V. Yu. Novokshenov

Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
Full-text PDF (708 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13733
Abstract: Several classes of asymptotic solutions of the discrete Painlevé equation of second type (dPII) for large values of the independent variable are found. The cases of complex and real solutions are considered. as well as special solutions related to symmetric group representations.
Keywords: discrete Painlevé equation of second type, Painlevé transcendents, asymptotic solutions, elliptic functions, symmetric group representations.
Received: 27.04.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 4, Pages 598–607
DOI: https://doi.org/10.1134/S0001434622090280
Bibliographic databases:
Document Type: Article
UDC: 517.928+517.923+517.929+517.962+519.116
Language: Russian
Citation: V. Yu. Novokshenov, “Asymptotic Solutions of the Discrete Painlevé Equation of Second Type”, Mat. Zametki, 112:4 (2022), 613–624; Math. Notes, 112:4 (2022), 598–607
Citation in format AMSBIB
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\by V.~Yu.~Novokshenov
\paper Asymptotic Solutions of the Discrete Painlev\'e Equation of Second Type
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 4
\pages 613--624
\mathnet{http://mi.mathnet.ru/mzm13733}
\crossref{https://doi.org/10.4213/mzm13733}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538793}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 4
\pages 598--607
\crossref{https://doi.org/10.1134/S0001434622090280}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85140581080}
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    • This publication is cited in the following 1 articles:
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