Padé approximations for Painlevé I and II transcendents
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Publication:1034480
DOI10.1007/s11232-009-0073-8zbMath1185.34139OpenAlexW2071415804MaRDI QIDQ1034480
Publication date: 6 November 2009
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-009-0073-8
Painlevé equationPadé approximationRiemann-Hilbert problemcontinued fractionmeromorphic solutiondistribution of poles
Related Items (13)
Location of poles for the Hastings-McLeod solution to the second Painlevé equation ⋮ Open problems for Painlevé equations ⋮ Numerical approach to Painlevé transcendents on unbounded domains ⋮ Tronquée solutions of the Painlevé II equation ⋮ Special solutions of the first and second Painlevé equations and singularities of the monodromy data manifold ⋮ Distributions of poles to Painlevé transcendents via Padé approximations ⋮ A computational exploration of the second Painlevé equation ⋮ Painlevé IV with both Parameters Zero: A Numerical Study ⋮ A numerical methodology for the Painlevé equations ⋮ Painlevé IV: A numerical study of the fundamental domain and beyond ⋮ Fredholm determinant representation of the homogeneous Painlevé II τ-function ⋮ A method for calculating the Painlevé transcendents ⋮ Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I
Cites Work
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- A nonlinear eigenvalue problem
- Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
- Remarks on the Yablonskii-Vorob'ev polynomials
- On orthogonal and symplectic matrix ensembles
- The convergence of Padé approximants of meromorphic functions
- Quasi-linear Stokes phenomenon for the Painlevé first equation
- On Boutroux's Tritronquée Solutions of the First Painlevé Equation
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