Symbolic integration in the spirit of Liouville, Abel and Lie
Waldemar Hebisch

TL;DR
This paper develops a Liouville principle for integrating functions using elliptic integrals, incorporating Lie theoretic perspectives and modern notation to deepen understanding of classical integration methods.
Contribution
It introduces a Liouville principle for elliptic integrals, blending Abel, Liouville, and Lie theoretic approaches with modern notation.
Findings
Establishes a Liouville principle for elliptic integrals.
Highlights Lie theoretic aspects of classical integration.
Provides a modern reinterpretation of Abel and Liouville's methods.
Abstract
We provide a Liouville principle for integration in terms of elliptic integrals. Our methods are essentially those of Abel and Liouville changed to modern notation. We expose Lie theoretic aspect of Liouville's work.
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Taxonomy
TopicsHistory and Theory of Mathematics
