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 SM ISO690:2012FILIPUK, Galina. Generalized hypergeometric systems and the fifth and sixth Painleve equations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 3(64), pp. 3-10. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(64) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 3-10 | ||||||
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This paper concerns (generalized) hypergeometric systems associated with the fifth and sixth Painlev´e equations, which are the second order nonlinear ordinary differential equations. The Painlev´e equations govern monodromy preserving
deformations of certain second order linear scalar equations. We reduce these scalar
equations to generalized hypergeometric systems. |
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| Cuvinte-cheie Reduction problems, Painlev´e equations, B¨acklund transformations |
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