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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, номер 3, страницы 3–10
(Mi basm264)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Research articles
Generalized hypergeometric systems and the fifth and sixth Painlevé equations
Galina Filipuk Institute of Mathematics, University of Warsaw, Warsaw, Poland
Аннотация:
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.
Ключевые слова и фразы:
reduction problems, Painlevé equations, Bäcklund transformations.
Поступила в редакцию: 28.01.2010
Образец цитирования:
Galina Filipuk, “Generalized hypergeometric systems and the fifth and sixth Painlevé equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 3, 3–10
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm264 https://www.mathnet.ru/rus/basm/y2010/i3/p3
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