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.

引用

页码：539 / 551

页数：13

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