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Exact solution of the sixth Painlevé equation and exotic asymptotic expansion

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Publication:378191
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DOI10.1134/S1064562413030198zbMath1282.34097OpenAlexW2098082475MaRDI QIDQ378191

Irina Goryuchkina

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1134/s1064562413030198


zbMATH Keywords

formal solutionsPainlevé VI equationPicard-type solutions


Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)


Related Items (1)

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Cites Work

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  • Painlevé differential equations in the complex plane
  • Twistor spaces, Einstein metrics and isomonodromic deformations
  • Asymptotic expansions of solutions of the sixth Painlevé equation




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