Pade Method to Painleve Equations

DOI10.1619/fesi.52.83zbMath1177.34115OpenAlexW1976978849MaRDI QIDQ5191195

Yasuhiko Yamada

Publication date: 29 July 2009

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.52.83

zbMATH Keywords

orthogonal polynomialsisomonodromy deformationSchur functionPade approximationGarnier systemPainleve equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Padé approximation (41A21)

Related Items (15)

The Padé interpolation method applied to \(q\)-Painlevé equations. II (differential grid version) ⋮ Theory and applications of the elliptic Painlevé equation ⋮ Open problems for Painlevé equations ⋮ Hypergeometric solutions for the \(q\)-Painlevé equation of type \({E^{(1)}_6}\) by the Padé method ⋮ An elliptic Garnier system from interpolation ⋮ A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) ⋮ Geometric aspects of Painlevé equations ⋮ The Padé interpolation method applied to \(q\)-Painlevé equations ⋮ Variations of theq-Garnier system ⋮ Hermite-Padé approximation, isomonodromic deformation and hypergeometric integral ⋮ On determinant representation and integrability of Nekrasov functions ⋮ Determinant structure for \(\tau\)-function of holonomic deformation of linear differential equations ⋮ The Padé interpolation method applied to additive difference Painlevé equations ⋮ Study of <i>q</i>-Garnier System by Padé Method ⋮ Padé Interpolation for Elliptic Painlevé Equation

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