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Exponential expansions of solutions to an ordinary differential equation

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Publication:1760996
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DOI10.1134/S1064562412020287zbMath1269.34009OpenAlexW2026186290WikidataQ115247477 ScholiaQ115247477MaRDI QIDQ1760996

Alexander D. Bruno

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412020287



Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)


Related Items (4)

Unnamed Item ⋮ Convergence of formal solutions to the second member of the fourth Painlevé hierarchy in a neighborhood of zero ⋮ Expansion of solutions to an ordinary differential equation into transseries ⋮ On complicated expansions of solutions to ODES



Cites Work

  • On the convergence of a formal solution to an ordinary differential equation
  • Asymptotic expansions of solutions of the sixth Painlevé equation
  • Asymptotic behaviour and expansions of solutions of an ordinary differential equation


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