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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5988| Title: | Integration in finite terms: dilogarithmic integrals |
| Authors: | KAUR, YASHPREET Srinivasan, Varadharaj R. Dept. of Mathematics |
| Keywords: | Differential Fields Dilogarithmic Integrals Elementary Extensions Liouville's Theorem 2021-JUN-WEEK5 TOC-JUN-2021 2021 |
| Issue Date: | Jun-2021 |
| Publisher: | Springer Nature |
| Citation: | Applicable Algebra in Engineering Communication and Computing. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5988 https://doi.org/10.1007/s00200-021-00518-3 |
| ISSN: | 0938-1279 1432-0622 |
| Appears in Collections: | JOURNAL ARTICLES |
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