New Transformations for Painlevé's Third Transcendent

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dc.creatorWitte, N. S.
dc.date2002-10-02
dc.date.accessioned2026-07-07T04:51:25Z
dc.date.available2026-07-07T04:51:25Z
dc.descriptionWe present transformations relating the third transcendent of Painlevé with parameter sets located at the corners of the Weyl chamber for the symmetry group of the system, the affine Weyl group of the root system $ B^{(1)}_2 $, to those at the origin. This transformation entails a scaling of the independent variable, and implies additive identities for the canonical Hamiltonians and product identities for the $τ$-functions with these parameter sets.
dc.descriptionAMSLatex with Proc. Amer. Math. Soc. macros
dc.identifierhttps://arxiv.org/abs/math/0210019
dc.identifierhttp://arxiv.org/abs/math/0210019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65141
dc.subjectClassical Analysis and ODEs
dc.subjectExactly Solvable and Integrable Systems
dc.subject34M55;33E17;20F55
dc.titleNew Transformations for Painlevé's Third Transcendent
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