Goursat's theorem on pseudo-elliptic integrals is generalized to cube-root cases via order-3 Möbius automorphisms that decompose the integrand into two elementary pieces and one generically transcendental piece on a genus-1 curve.
Welz,Postings on Goursat-type pseudo-elliptic integrals and their cube-root analogs, sci.math.symbolic newsgroup, 2012–2024
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.SC 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
A Generalisation of Goursat's Algorithm for Integration in Finite Terms
Goursat's theorem on pseudo-elliptic integrals is generalized to cube-root cases via order-3 Möbius automorphisms that decompose the integrand into two elementary pieces and one generically transcendental piece on a genus-1 curve.