Hypergeometric solutions for the \(q\)-Painlevé equation of type \({E^{(1)}_6}\) by the Padé method

DOI10.1007/s11005-013-0610-0zbMath1280.39008arXiv1207.6446OpenAlexW3098240965MaRDI QIDQ360399

Yusuke Ikawa

Publication date: 26 August 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6446

zbMATH Keywords

Padé methodBäcklund transformationdiscrete Painlevé equationhypergeometric solutions\(q\)-Painlevé equationsdeterminant formulaQRT system

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Padé approximation (41A21) Difference equations, scaling ((q)-differences) (39A13) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (7)

The Padé interpolation method applied to \(q\)-Painlevé equations. II (differential grid version) ⋮ A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) ⋮ The Padé interpolation method applied to \(q\)-Painlevé equations ⋮ Variations of theq-Garnier system ⋮ Hermite-Padé approximation, isomonodromic deformation and hypergeometric integral ⋮ The Padé interpolation method applied to additive difference Painlevé equations ⋮ Study of <i>q</i>-Garnier System by Padé Method

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