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Passage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\)

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Publication:1189602
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DOI10.1007/BF02364568zbMath0834.34006MaRDI QIDQ1189602

Andrei A. Kapaev, Alexander V. Kitaev

Publication date: 27 September 1992

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

Painlevé equationBäcklund transformationdouble asymptoticslimit transition


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 (2)

Rational solutions of the Painlevé-II equation revisited ⋮ Painlevé-III monodromy maps under the \(D_6 \rightarrow D_8\) confluence and applications to the large-parameter asymptotics of rational solutions



Cites Work

  • Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
  • Monodromy- and spectrum-preserving deformations. I
  • Unnamed Item


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