Integration in finite terms: dilogarithmic integrals

被引：0
|
作者：
Kaur, Yashpreet [1 ]
Srinivasan, Varadharaj R. [2 ]
机构：
[1] IISER Pune, Math Dept, Pune, Maharashtra, India
[2] IISER Mohali, Dept Math Sci, Mohali, India
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2023年 / 34卷 / 04期
关键词：
Differential Fields; Dilogarithmic Integrals; Elementary Extensions; Liouville's Theorem; THEOREM;
D O I：
10.1007/s00200-021-00518-3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
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.
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页码：539 / 551
页数：13
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