Symbolic Integration in Weierstrass-like Extensions
Symbolic Computation
2026-02-09 v1 Algebraic Geometry
Classical Analysis and ODEs
Abstract
This paper studies the integration problem in differential fields that may involve quantities reminiscent of the Weierstrass function, which are defined by a first-order nonlinear differential equation. We extend the classical notion of special polynomials to elements of Weierstrass-like extensions and present algorithms for reduction in such extensions. As an application of these results, we derive some new formulae for integrals of powers of .
Keywords
Cite
@article{arxiv.2602.06873,
title = {Symbolic Integration in Weierstrass-like Extensions},
author = {Shaoshi Chen and Manuel Kauers and Wenqiao Li and Xiuyun Li and David Masser},
journal= {arXiv preprint arXiv:2602.06873},
year = {2026}
}
Comments
23 pages