Heun equation and Painlevé equation

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dc.creatorTakemura, Kouichi
dc.date2005-03-15
dc.date.accessioned2026-07-07T05:17:57Z
dc.date.available2026-07-07T05:17:57Z
dc.descriptionWe relate two parameter solutions of the sixth Painlevé equation and finite-gap solutions of the Heun equation by considering monodromy on a certain class of Fuchsian differential equations. In the appendix, we present formulae on differentials of elliptic modular functions, and obtain the ellitic form of the sixth Painlevé equation directly.
dc.description17 pages, based on the talk given at the Workshop "Studies on elliptic integrable systems" (Kyoto, November 2004)
dc.identifierhttps://arxiv.org/abs/math/0503288
dc.identifierhttp://arxiv.org/abs/math/0503288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74494
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.subject33E10,34M55
dc.titleHeun equation and Painlevé equation
dc.typetext

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