Authors: Galina Filipuk
Keywords: Reduction problems, Painlev´e equations, B¨acklund transformations
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Keywords: Reduction problems, Painlev´e equations, B¨acklund transformations
Abstract
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.Fulltext
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