Polynomial and rational solutions of holonomic systems

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dc.creatorOaku, T.
dc.creatorTakayama, N.
dc.creatorTsai, H.
dc.date2000-01-12
dc.date.accessioned2026-07-07T04:33:18Z
dc.date.available2026-07-07T04:33:18Z
dc.descriptionThe aim of this paper is to give two new algorithms, which are elimination free, to find polynomial and rational solutions for a given holonomic system associated to a set of linear differential operators in the Weyl algebra D = k<x_1, ..., x_n, dx_1, ..., dx_n> where k is a subfield of the complex numbers.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0001064
dc.identifierhttp://arxiv.org/abs/math/0001064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58521
dc.subjectAlgebraic Geometry
dc.subjectAnalysis of PDEs
dc.subject35C05 (Primary), 14Q99, 33F10, 35N10 (Secondary)
dc.titlePolynomial and rational solutions of holonomic systems
dc.typetext

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