Polynomial and rational solutions of holonomic systems

2000/01/12 by T. Oaku, Oaku, T., N. Takayama +3
Mathematics · #14Q99 #33F10 #35C05 (Primary) #35N10 (Secondary) #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AG #math.AP #msc:14Q99 #msc:33F10 #msc:35C05 #msc:35N10

paper · pdf · doi:10.48550/arxiv.math/0001064

20 pages

arxiv created 2000/01/12 · arxiv updated 2009/11/30

Abstract

The 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<x₁, ..., x_n, dx₁, ..., dx_n> where k is a subfield of the complex numbers.

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