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Basic expansions of solutions to the sixth Painlevé equation in the generic case

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Publication:731590
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DOI10.1134/S0012266109010030zbMath1185.34137WikidataQ115252779 ScholiaQ115252779MaRDI QIDQ731590

Alexander D. Bruno, Irina Goryuchkina

Publication date: 8 October 2009

Published in: Differential Equations (Search for Journal in Brave)


zbMATH Keywords

sixth Painlevé equationasymptotic expansions of solutions


Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)


Related Items (1)

Asymptotic expansions of solutions of the sixth Painlevé equation



Cites Work

  • Unnamed Item
  • The construction of a general solution of a Hamiltonian system with regular type singularity and its application to Painlevé equations
  • All asymptotic expansions of solutions to the sixth Painlevé equation
  • Complicated expansions of solutions to an ordinary differential equation
  • Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
  • A family of solutions of a nonlinear ordinary differential equation and its application to Painlevé equations (III), (V) and (VI)
  • Painlevé differential equations in the complex plane


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