Hermite Reduction for D-finite Functions via Integral Bases
Symbolic Computation
2023-02-10 v1
Abstract
Trager's Hermite reduction solves the integration problem for algebraic functions via integral bases. A generalization of this algorithm to D-finite functions has so far been limited to the Fuchsian case. In the present paper, we remove this restriction and propose a reduction algorithm based on integral bases that is applicable to arbitrary D-finite functions.
Cite
@article{arxiv.2302.04652,
title = {Hermite Reduction for D-finite Functions via Integral Bases},
author = {Shaoshi Chen and Lixin Du and Manuel Kauers},
journal= {arXiv preprint arXiv:2302.04652},
year = {2023}
}
Comments
21 pages