Distributions of poles to Painlevé transcendents via Padé approximations

DOI10.1007/s00365-013-9190-6zbMath1304.30042OpenAlexW2094687579MaRDI QIDQ485293

Victor Yu. Novokshenov

Publication date: 9 January 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-013-9190-6

zbMATH Keywords

Padé approximationRiemann-Hilbert problemPainlevé equationsmeromorphic solutionsCoulomb gasdistribution of poles

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Approximation in the complex plane (30E10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Padé approximation (41A21) Painlevé-type functions (33E17)

Related Items

Location of poles for the Hastings-McLeod solution to the second Painlevé equation, Open problems for Painlevé equations, Rational solutions of the Painlevé-II equation revisited, Truncated solutions of Painlevé equation \({\mathrm P}_{\mathrm V}\), Tronquée solutions of the third and fourth Painlevé equations, Resurgent trans-series for generalized Hastings–McLeod solutions

Uses Software

• RHPackage

Cites Work

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