Liouville’s theorem on integration in finite terms for $$\mathrm D_\infty ,$$ $$ \textrm{SL}_2$$, and Weierstrass field extensions-Reference-Cited by-同舟云学术

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Liouville’s theorem on integration in finite terms for $$\mathrm D_\infty ,$$ $$ \textrm{SL}_2$$, and Weierstrass field extensions

Published:2023-09-14 Issue:4 Volume:121 Page:371-383
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math.

Author:

Kumbhakar Partha,Srinivasan Varadharaj R.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00013-023-01907-5.pdf

Reference12 articles.

1. Baddoura, J.: Integration in finite terms with elementary functions and dilogarithms. J. Symb. Comput. 41(8), 909–942 (2006)

2. Hebisch, W.: Integration in terms of polylogarithm. arXiv:1810.05865 (2018)

3. Hebisch, W.: Symbolic integration in the spirit of Liouville, Abel and Lie. arXiv:2104.06226 (2021)

4. Kolchin, E.R.: Galois theory of differential fields. Amer. J. Math. 75(4), 753–824 (1953)

5. Kovacic, J.J.: An algorithm for solving second order linear homogeneous differential equations. J. Symb. Comput. 2(1), 3–43 (1986)

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1. The Liouville Generator for Producing Integrable Expressions;Lecture Notes in Computer Science;2024

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