Determinant formula for solutions of the Garnier system and Padé approximation

DOI10.1088/1751-8113/45/13/135206zbMath1242.35077OpenAlexW2004449655MaRDI QIDQ5390042

Toshiyuki Mano

Publication date: 27 April 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/45/13/135206

zbMATH Keywords

Schlesinger transformationsolutions of Riccati typeYamada's method

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Padé approximation (41A21) Solutions to PDEs in closed form (35C05) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (7)

A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) ⋮ Some algebraic properties of Hermite-Padé polynomials ⋮ Variations of theq-Garnier system ⋮ Hermite-Padé approximation, isomonodromic deformation and hypergeometric integral ⋮ 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

This page was built for publication: Determinant formula for solutions of the Garnier system and Padé approximation