Polynomial and rational solutions of holonomic systems

Details Polynomial and rational solutions of holonomic systems Polynomial and rational solutions of holonomic systems

2000-01-12

arxiv.org/abs/math/0001064v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

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 where k is a subfield of the complex numbers.

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