Schlesinger transformations for algebraic Painleve VI solutions

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dc.creatorVidunas, Raimundas
dc.creatorKitaev, Alexander V.
dc.date2008-10-15
dc.date.accessioned2026-07-07T10:10:27Z
dc.date.available2026-07-07T10:10:27Z
dc.descriptionVarious Schlesinger transformations can be combined with a direct pull-back of a hypergeometric 2x2 system to obtain $RS^2_4$-pullback transformations to isomonodromic 2x2 Fuchsian systems with 4 singularities. The corresponding Painleve VI solutions are algebraic functions, possibly in different orbits under Okamoto transformations. This paper demonstrates a direct computation of Schlesinger transformations acting on several apparent singular points, and presents an algebraic procedure (via syzygies) of computing algebraic Painleve VI solutions without deriving full RS-pullback transformations.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0810.2766
dc.identifierhttp://arxiv.org/abs/0810.2766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171605
dc.subjectClassical Analysis and ODEs
dc.subject34M55, 33E17
dc.titleSchlesinger transformations for algebraic Painleve VI solutions
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