Symbolic Integration in Weierstrass-like Extensions

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Shaoshi Chen, Manuel Kauers, Wenqiao Li, Xiuyun Li, David Masser
Cited by: 0

Abstract

This paper studies the integration problem in differential fields that may involve quantities reminiscent of the Weierstrass $\wp$ 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 $\wp$.

Fields of Study & Subjects

Polynomial and algebraic computation Mathematical functions and polynomials Mathematical and Computational Methods

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Language
EN
Document type
Preprint