Meromorphic solution of the degenerate third Painlevé equation vanishing at the origin

DOI10.3842/SIGMA.2019.046zbMath1440.34095arXiv1809.00122MaRDI QIDQ2330816

Alexander V. Kitaev

Publication date: 23 October 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00122

zbMATH Keywords

asymptotic expansionPainlevé equationgreatest common divisorhypergeometric functionisomonodromy deformation

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) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (4)

Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy ⋮ Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter ⋮ Asymptotics of integrals of some functions related to the degenerate third Painlevé equation

Cites Work

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• Asymptotics of integrals of some functions related to the degenerate third Painlevé equation
• Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy
• How instanton combinatorics solves Painlevé VI, V and IIIs
• Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II
• The Riemann–Hilbert Problem and Inverse Scattering
• Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: I

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