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IMCS/Publications/BASM/Issues/BASM n.3 (64), 2010/

Generalized hypergeometric systems and the fifth and sixth Painlev´e equations

Authors: Galina Filipuk
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.

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