Polynomial and rational solutions of holonomic systems
Algebraic Geometry
2007-05-23 v1 Analysis of PDEs
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<x_1, ..., x_n, dx_1, ..., dx_n> where k is a subfield of the complex numbers.
Cite
@article{arxiv.math/0001064,
title = {Polynomial and rational solutions of holonomic systems},
author = {T. Oaku and N. Takayama and H. Tsai},
journal= {arXiv preprint arXiv:math/0001064},
year = {2007}
}
Comments
20 pages