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arXiv · 2104.12504

Integration in Finite Terms: Dilogarithmic Integrals

Yashpreet Kaur·Varadharaj R. Srinivasan
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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.

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Yashpreet Kaur, Varadharaj R. Srinivasan. 2021-04-26. Integration in Finite Terms: Dilogarithmic Integrals. https://doi.org/10.1007/s00200-021-00518-3

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