Lax Formalism for q-Painleve Equations with Affine Weyl Group Symmetry of Type EFormula

DOI10.1093/imrn/rnq232zbMath1233.39008arXiv1004.1687OpenAlexW2963113235MaRDI QIDQ3174175

Yasuhiko Yamada

Publication date: 12 October 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1687

zbMATH Keywords

Lax formalismaffine Weyl group symmetry\(q\)-Painleve equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Related Items (16)

The Padé interpolation method applied to \(q\)-Painlevé equations. II (differential grid version) ⋮ 𝑞-Heun equation and initial-value space of 𝑞-Painlevé equation ⋮ Hypergeometric solutions for the \(q\)-Painlevé equation of type \({E^{(1)}_6}\) by the Padé method ⋮ A \(3 \times 3\) Lax form for the \(q\)-Painlevé equation of type \(E_6\) ⋮ A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\) ⋮ Analytic solutions ofq-P(A₁) near its critical points ⋮ Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case ⋮ Geometric aspects of Painlevé equations ⋮ The Padé interpolation method applied to \(q\)-Painlevé equations ⋮ Variations of theq-Garnier system ⋮ On \(q\)-deformations of the Heun equation ⋮ Commutation relations and discrete garnier systems ⋮ 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 ⋮ The elliptic Painlevé Lax equation vs. van Diejen's 8-coupling elliptic Hamiltonian

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