Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\)
From MaRDI portal
Publication:298876
DOI10.3842/SIGMA.2016.051zbMath1342.33033arXiv1601.05327MaRDI QIDQ298876
Publication date: 21 June 2016
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.05327
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05) Painlevé-type functions (33E17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete nonlinear hyperbolic equations. Classification of integrable cases
- Hypergeometric \(\tau \) functions of the \(q\)-Painlevé systems of type \((A_{2}+A_{1})^{(1)}\)
- Hypergeometric \(\tau \)-functions of the \(q\)-Painlevé system of type \(E_{8}^{(1)}\)
- \(q\)-Painlevé VI equation arising from \(q\)-UC hierarchy
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
- Hypergeometric \(\tau \)-functions of the \(q\)-Painlevé system of type \(E_{7}^{(1)}\)
- Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
- Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Imbedded circle patterns with the combinatorics of the square grid and discrete Painlevé equations
- Special function solutions of the discrete Painlevé equations
- Classification of integrable equations on quad-graphs. The consistency approach
- The \(q\)-discrete Painlevé IV equations and their properties
- Discrete Painlevé equations: coalescences, limits and degeneracies
- Tau functions of \(q\)-Painlevé III and IV equations
- Discrete \(z^{\gamma}\): embedded circle patterns with the square grid combinatorics and discrete Painlevé equations
- Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case
- Geometric aspects of Painlevé equations
- Classification of 3D Consistent Quad-Equations
- Lattice equations arising from discrete Painlevé systems. I. (A2 + A1)(1) and (A1+A1′)(1) cases
- Hypergeometric solutions to the q-Painleve equation of type $$ _ + _ ^{\prime })}^ $$
- Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painleve IV Equation
- Casorati determinant solutions for theq-difference sixth Painlevé equation
- Determinant structure of the rational solutions for the Painlevé IV equation
- Degeneration through coalescence of theq-Painlevé VI equation
- Casorati determinant solutions for the discrete Painleve-II equation
- Discrete versions of the Painlevé equations
- Do integrable mappings have the Painlevé property?
- A study on the fourthq-Painlevé equation
- 10E9solution to the elliptic Painlev equation
- The planar approximation. II
- On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation
- On a q-Difference Painlevé III Equation: I. Derivation, Symmetry and Riccati Type Solutions
- Hexagonal circle patterns with constant intersection angles and discrete Painlevé and Riccati equations
- Casorati determinant solutions for the discrete Painlevé III equation
- Corrigendum: “Classification of 3D Consistent Quad-Equations”
- A generalization of determinant formulae for the solutions of Painlevé II and XXXIV equations
- Hypergeometric Solutions to the Symmetric q-Painlevé Equations
- Lax pairs of discrete Painlevé equations: (A2+A1)(1)case
- An Explicit Formula for the Discrete Power Function Associated with Circle Patterns of Schramm Type
- Hypergeometric solutions to theq-Painlevé equation of typeA(1)4
- Asymmetric discrete Painlevé equations
This page was built for publication: Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\)
