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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 3, Pages 3–10 (Mi basm264)  
This article is cited in 1 scientific paper (total in 1 paper)

Research articles

Generalized hypergeometric systems and the fifth and sixth Painlevé equations

Galina Filipuk

Institute of Mathematics, University of Warsaw, Warsaw, Poland
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Abstract: This paper concerns (generalized) hypergeometric systems associated with the fifth and sixth Painlevé equations, which are the second order nonlinear ordinary differential equations. The Painlevé equations govern monodromy preserving deformations of certain second order linear scalar equations. We reduce these scalar equations to generalized hypergeometric systems.
Keywords and phrases: reduction problems, Painlevé equations, Bäcklund transformations.
Received: 28.01.2010
Bibliographic databases:
Document Type: Article
MSC: 34M55
Language: English
Citation: Galina Filipuk, “Generalized hypergeometric systems and the fifth and sixth Painlevé equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 3, 3–10
Citation in format AMSBIB
\Bibitem{Fil10}
\by Galina~Filipuk
\paper Generalized hypergeometric systems and the fifth and sixth Painlev\'e equations
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2010
\issue 3
\pages 3--10
\mathnet{http://mi.mathnet.ru/basm264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2791971}
\zmath{https://zbmath.org/?q=an:1226.34086}
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  • https://www.mathnet.ru/eng/basm/y2010/i3/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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    Abstract page:166
    Full-text PDF :63
    References:26
    First page:1
     
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