Integration in Finite Terms: Dilogarithmic Integrals
General Mathematics
2022-01-26 v1
Abstract
We extend the theorem of Liouville on integration in finite terms to include dilogarithmic integrals. The results provide a necessary and sufficient condition for an element of the base field to have an antiderivative in a field extension generated by transcendental elementary functions and dilogarithmic integrals. We also study algebraic independence of certain dilogarithmic integrals.
Keywords
Cite
@article{arxiv.2104.12504,
title = {Integration in Finite Terms: Dilogarithmic Integrals},
author = {Yashpreet Kaur and Varadharaj R. Srinivasan},
journal= {arXiv preprint arXiv:2104.12504},
year = {2022}
}