Integration in finite terms with elementary functions and dilogarithms

DOI10.1016/j.jsc.2006.03.003zbMath1158.12301OpenAlexW2165861300MaRDI QIDQ2457377

Jamil Baddoura

Publication date: 23 October 2007

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2006.03.003

zbMATH Keywords

differential algebraelementary functionsintegration in finite termsDilogarithms

Mathematics Subject Classification ID

Differential algebra (12H05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Exponential and trigonometric functions (33B10)

Related Items (6)

Hardy's Reduction for a Class of Liouville Integrals of Elementary Functions ⋮ Liouville's theorem on integration in finite terms for \(\mathrm{D}_\infty , \mathrm{SL}_2\), and Weierstrass field extensions ⋮ Integration in finite terms with dilogarithmic integrals, logarithmic integrals and error functions ⋮ Integration in finite terms: dilogarithmic integrals ⋮ A note on symbolic integration with polylogarithms ⋮ Sums of series of Rogers dilogarithm functions

Cites Work

• Unnamed Item
• Unnamed Item
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• Liouville's theorem on functions with elementary integrals
• Sur les rélations algébriques entre les intégrales indefinies
• An Extension of Liouville’s Theorem on Integration in Finite Terms
• Algebraic Groups and Algebraic Dependence
• Towards a general theory of special functions

This page was built for publication: Integration in finite terms with elementary functions and dilogarithms