Linear differential equations in exponential extensions

DOI10.1016/j.jsc.2004.02.005zbMath1137.34302OpenAlexW1972723602MaRDI QIDQ2643549

Anne Fredet

Publication date: 24 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2004.02.005

zbMATH Keywords

algorithmslinear differential equationsrational solutionsexponential extension

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Abstract differential equations (12H20)

Cites Work

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• Liouvillian solutions of linear differential equations with Liouvillian coefficients
• On solutions of linear ordinary differential equations in their coefficient field
• Differential extension fields of exponential type
• Symbolic integration. I: Transcendental functions
• On solutions of linear ordinary difference equations in their coefficient field
• Linear differential equations, iterative logarithms and orderings on monomial differential extensions
• 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
• The solution of the problem of integration in finite terms

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