scientific article; zbMATH DE number 2149429
From MaRDI portal
Publication:4661954
zbMath1064.39019MaRDI QIDQ4661954
Alfred Ramani, Basile Grammaticos
Publication date: 30 March 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Painlevé-type functions (33E17)
Related Items (33)
Discrete Painlevé transcendent solutions to the multiplicative-type discrete KdV equations ⋮ Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ On some applications of Sakai's geometric theory of discrete Painlevé equations ⋮ Spectral interpretations of dynamical degrees and applications ⋮ Special functions arising from discrete Painlevé equations: a survey ⋮ Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations ⋮ On the monodromy manifold of \(q\)-Painlevé VI and its Riemann-Hilbert problem ⋮ Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials ⋮ Hankel determinant and orthogonal polynomials for a perturbed Gaussian weight: From finite n to large n asymptotics ⋮ Lattice equations arising from discrete Painlevé systems: II. ${A}_{4}^{(1)}$ case ⋮ The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota-Miwa system ⋮ Geometric aspects of Painlevé equations ⋮ Non linear difference equations arising from a deformation of the \(q\)-Laguerre weight ⋮ The number of discrete Painlevé equations is infinite ⋮ Do all integrable equations satisfy integrability criteria? ⋮ Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials ⋮ Stokes phenomena in discrete Painlevé II ⋮ Cluster integrable systems, \(q\)-Painlevé equations and their quantization ⋮ An ultradiscrete matrix version of the fourth Painlevé equation ⋮ Reduction of quad-equations consistent around a cuboctahedron I: Additive case ⋮ Orthogonal polynomials on a bi-lattice ⋮ Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI ⋮ Multiple orthogonal polynomials associated with an exponential cubic weight ⋮ Strongly asymmetric discrete Painlevé equations: The multiplicative case ⋮ Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice ⋮ A geometric approach to tau-functions of difference Painlevé equations ⋮ Super-QRT and 4D-mappings reduced from the lattice super-KdV equation ⋮ Quantum curves and \(q\)-deformed Painlevé equations ⋮ Fate of the Julia set of higher dimensional maps in the integrable limit ⋮ Variations of Stieltjes-Wigert and \(q\)-Laguerre polynomials and their recurrence coefficients ⋮ Dynamics of Nonpolar Solutions to the Discrete Painlevé I Equation ⋮ AGT correspondence, (\(q\)-)Painlevè equations and matrix models ⋮ Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations
This page was built for publication:
