Integration of a class of transcendental Liouvillian functions with error-functions. I

DOI10.1016/S0747-7171(10)80010-0zbMath0759.12001MaRDI QIDQ1198245

Paul H. Knowles

Publication date: 16 January 1993

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

zbMATH Keywords

algorithmsymbolic integrationelementary functionserror-functionstranscendental Liouvillian functions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Differential algebra (12H05)

Related Items (3)

Comments on Rosenlicht’s Integration in Finite Terms ⋮ Comments on Risch’s On the Integration of Elementary Functions which are Built Up Using Algebraic Operations ⋮ Integration in terms of exponential integrals and incomplete gamma functions

Cites Work

• Integration in finite terms with special functions: the error function
• An Extension of Liouville’s Theorem on Integration in Finite Terms
• A Structure Theorem for Exponential and Primitive Functions
• The Problem of Integration in Finite Terms

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