On solutions of linear ordinary differential equations in their coefficient field

DOI10.1016/S0747-7171(08)80106-XzbMath0752.34009MaRDI QIDQ1194337

Manuel Bronstein

Publication date: 27 September 1992

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

zbMATH Keywords

linear ordinary differential equationLiouvillian solutionsrational algorithmLiouvillian coefficientscoefficient field

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear ordinary differential equations and systems (34A30) Abstract differential equations (12H20) Numerical methods for ordinary differential equations (65L99) Numerical analysis in abstract spaces (65J99)

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Cites Work

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• Liouvillian solutions of linear differential equations with Liouvillian coefficients
• A unification of Liouvillian extensions
• Integration of elementary functions
• Intégration algorithmique des fonctions élémentairement transcendantes sur une courbe algébrique