On arithmetic properties of the solutions of a universal differential equation at algebraic points

DOI10.1006/jmaa.2000.7334zbMath0985.34003OpenAlexW2060907350WikidataQ115395362 ScholiaQ115395362MaRDI QIDQ5937664

Carsten Elsner

Publication date: 29 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7334

zbMATH Keywords

algebraic differential equationreal continuous functions

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Measures of irrationality and of transcendence (11J82) One-variable calculus (26A06)

Related Items (3)

On a linear transcendence measure for the solutions of a universal differential equation at algebraic points ⋮ On a universal differential equation for the analytic terms of \(C^{\infty}\)-superpositions on the real line ⋮ On a method to transform algebraic differential equations into universal equations

Cites Work

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• Universal formulae and universal differential equations
• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• A universal differential equation of degree 6
• A universal differential equation
• A universal functional equation

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