On the algebraic solutions of the Painlevé-III (\(\mathrm{D}_7\)) equation

DOI10.1016/j.physd.2022.133493OpenAlexW4292380009WikidataQ114141865 ScholiaQ114141865MaRDI QIDQ2083741

Peter D. Miller, Robert J. Buckingham

Publication date: 11 October 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04217

zbMATH Keywords

algebraic solutionsisomonodromy methodPainlevé-III (\(\mathrm{D}_7\)) equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Quantum theory (81-XX)

Related Items (3)

A constructive proof for the Umemura polynomials of the third Painlevé equation ⋮ Preface to the special issue: orthogonal polynomials and integrable systems, peakons, Toda lattices and Painlevé transcendents ⋮ Differential equations for approximate solutions of Painlevé equations: application to the algebraic solutions of the Painlevé-III \((\mathrm{D}_7)\) equation

Uses Software

• DLMF

Cites Work

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