English

Integral D-Finite Functions

Symbolic Computation 2015-07-01 v2 Rings and Algebras

Abstract

We propose a differential analog of the notion of integral closure of algebraic function fields. We present an algorithm for computing the integral closure of the algebra defined by a linear differential operator. Our algorithm is a direct analog of van Hoeij's algorithm for computing integral bases of algebraic function fields.

Keywords

Cite

@article{arxiv.1501.03691,
  title  = {Integral D-Finite Functions},
  author = {Manuel Kauers and Christoph Koutschan},
  journal= {arXiv preprint arXiv:1501.03691},
  year   = {2015}
}
R2 v1 2026-06-22T08:02:25.969Z