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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 448, Pages 263–269 (Mi znsl6316)  
This article is cited in 2 scientific papers (total in 2 papers)

Symbolic generation of Painlevé equations

S. Yu. Slavyanov, O. L. Stesik

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (585 kB) Citations (2)
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Abstract: Our goal is to simplify the symbolic generation of Painlevé equations from deformed Heun class equations by using CAS Maple. In the developed package, the input data are Heun class equations and the output data are various Painlevé equations.
Key words and phrases: Heun class equations, deformed equations, Painlevé equations, apparent singularities, CAS Maple.
Received: 16.09.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 2, Pages 345–348
DOI: https://doi.org/10.1007/s10958-017-3420-6
Bibliographic databases:
Document Type: Article
UDC: 517.289+517.923+517.926
Language: Russian
Citation: S. Yu. Slavyanov, O. L. Stesik, “Symbolic generation of Painlevé equations”, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Zap. Nauchn. Sem. POMI, 448, POMI, St. Petersburg, 2016, 263–269; J. Math. Sci. (N. Y.), 224:2 (2017), 345–348
Citation in format AMSBIB
\Bibitem{SlaSte16}
\by S.~Yu.~Slavyanov, O.~L.~Stesik
\paper Symbolic generation of Painlev\'e equations
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 448
\pages 263--269
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6316}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3576263}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 2
\pages 345--348
\crossref{https://doi.org/10.1007/s10958-017-3420-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019750773}
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  • https://www.mathnet.ru/eng/znsl/v448/p263
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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