Integration in finite terms with dilogarithmic integrals, logarithmic integrals and error functions. (September 2019)

• Record Type: Journal Article
• Authors: Kaur, Yashpreet; Srinivasan, Varadharaj R.
• Is Part Of: Journal of symbolic computation. Volume 94(2019)
• Page Start: 210
• Page End: 233
• Publication Date: 2019-09
• Subjects: Differential fields -- Differential algebra -- Integration in finite terms -- Elementary functions -- Liouville's Theorem -- Dilogarithmic integrals -- Error functions -- Logarithmic Integrals; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2018.08.004
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We extend the theorem of Liouville on integration in finite terms to include dilogarithmic integrals, logarithmic integrals and error functions along with transcendental elementary functions. We also generalise a result of Baddoura on integration in finite terms with dilogarithmic integrals.