Exponentially-improved asymptotics and numerics for the (un)perturbed first Painlevé equation*
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Publication:5054698
DOI10.1088/1751-8121/ac7bbbOpenAlexW4283386795MaRDI QIDQ5054698
Publication date: 29 November 2022
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.12800
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)
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- The convergence of Padé approximants to functions with branch points
- Hyperterminants. II
- Uniformization and constructive analytic continuation of Taylor series
- Eindeutige Lösungen der Differentialgleichungen \(w=P(z,w)\)
- Tritronquée solutions of perturbed first Painlevé equations
- The Exponentially Convergent Trapezoidal Rule
- The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability
- On Boutroux's Tritronquée Solutions of the First Painlevé Equation
- Hyperasymptotics for nonlinear ODEs II. The first Painlevé equation and a second-order Riccati equation
- Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I