On a \(q\)-deformation of the discrete Painlevé I equation and \(q\)- orthogonal polynomials
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Publication:1320092
DOI10.1007/BF00751068zbMath0795.39003arXivhep-th/9310091MaRDI QIDQ1320092
Publication date: 4 September 1994
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9310091
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Discrete version of topics in analysis (39A12) Other basic hypergeometric functions and integrals in several variables (33D70)
Related Items
The discrete Korteweg-de Vries equation, Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy, Orthogonal polynomial approach to discrete Lax pairs for initial boundary-value problems of the QD algorithm, Discrete Painlevé equations: coalescences, limits and degeneracies, \(q\)-analogues of Freud weights and nonlinear difference equations, Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials, q-Discrete Painlevé equations for recurrence coefficients of modifiedq-Freud orthogonal polynomials, Rota-Baxter operators on pre-Lie algebras
Cites Work
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- Discrete Painlevé equations and their appearance in quantum gravity
- Quantum affine algebras and holonomic difference equations
- Difference Schrödinger operators with linear and exponential discrete spectra
- \(q\)-orthogonal polynomials and the oscillator quantum group
- Analytic theory of linear \(q\)-difference equations
- Nonperturbative two-dimensional quantum gravity
- Discrete versions of the Painlevé equations
- Do integrable mappings have the Painlevé property?
- Linearization and solutions of the discrete Painlevé III equation
