A constructive proof for the Umemura polynomials of the third Painlevé equation

DOI10.3842/sigma.2023.080zbMath1526.33005arXiv1609.00495OpenAlexW4387938750MaRDI QIDQ6085581

Chia-Hua Lin, Chun-Kong Law, Peter A. Clarkson

Publication date: 8 November 2023

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

Full work available at URL: https://arxiv.org/abs/1609.00495

zbMATH Keywords

recurrence relationthird Painlevé equationUmemura polynomials

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17) Numerical aspects of recurrence relations (65Q30)

Related Items (1)

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

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