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On a linear transcendence measure for the solutions of a universal differential equation at algebraic points

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Publication:1874625
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DOI10.1016/S0022-247X(03)00056-8zbMath1026.34009WikidataQ115340207 ScholiaQ115340207MaRDI QIDQ1874625

Carsten Elsner

Publication date: 25 May 2003

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


zbMATH Keywords

solutionsdifferential equationalgebraic pointsuniversal differential equationlinear transcendence measure


Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Measures of irrationality and of transcendence (11J82)


Related Items (2)

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

  • A universal differential equation of degree 6
  • On arithmetic properties of the solutions of a universal differential equation at algebraic points
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