One-parameter meromorphic solution of the degenerate third Painlevé equation with formal monodromy parameter \(a = \pm i/2\) vanishing at the origin

DOI10.1007/S10958-024-07380-XMaRDI QIDQ6634781

A. H. Vartanian, A. V. Kitaev

Publication date: 8 November 2024

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

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Cites Work

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• Sur des équations différentielles du troisième ordre dont l'intégrale générale est uniforme et sur une classe d'équations nouvelles d'ordre supérieur dont l'intégrale générale a ses points critiques fixes.
• Asymptotics of integrals of some functions related to the degenerate third Painlevé equation
• Meromorphic solution of the degenerate third Painlevé equation vanishing at the origin
• Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II
• Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: I
• Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter

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