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Polynomial and rational solutions of holonomic systems

T. Oaku, N. Takayama, H. Tsai

math.AGarXiv:math/0001064

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, ..., xn, dx1, ..., dxn> where k is a subfield of the complex numbers.

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