Differential equations and algebraic relations

DOI10.1006/jsco.1997.0195zbMath0911.12004OpenAlexW1991495118MaRDI QIDQ1264459

Elie Compoint

Publication date: 5 May 1999

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

Full work available at URL: https://doi.org/10.1006/jsco.1997.0195

zbMATH Keywords

Picard-Vessiot extensionideal generatorseffective algorithmalgebraic independence of the values of \(E\)-functionsfirst integrals of linear differential equations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Algebraic independence; Gel'fond's method (11J85) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Abstract differential equations (12H20)

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A characterization of reduced forms of linear differential systems ⋮ Schwarz maps of algebraic linear ordinary differential equations

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