Fuchsian equation, Hermite-Krichever Ansatz and Painlevé equation

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dc.creatorTakemura, Kouichi
dc.date2005-01-25
dc.date.accessioned2026-07-07T05:16:21Z
dc.date.available2026-07-07T05:16:21Z
dc.descriptionSeveral results on Heun's equation are generalized to a certain class of Fuchsian differential equations. Namely, we obtain integral representations of solutions and develop Hermite-Krichever Ansatz on them. In particular, we investigate linear differential equations that produce Painlevé equation by monodromy preserving deformation and obtain solutions of the sixth Painlevé equation which include Hitchin's solution. The relationship with finite-gap potential is also discussed.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0501428
dc.identifierhttp://arxiv.org/abs/math/0501428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73958
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.subject82B23,34M55,33E10
dc.titleFuchsian equation, Hermite-Krichever Ansatz and Painlevé equation
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