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Title Symmetries and integrability of difference equations / [electronic resource] Decio Levi, Luc Vinet, Pavel Winternitz, editors
Imprint Providence, R.I. : American Mathematical Society, c1996
book jacket
Descript 1 online resource (xii, 388 p. : ill.)
Series CRM Proceedings and Lecture Notes, 2472-4890 ; v. 9
Note Papers from the Workshop on Symmetries and Integrability of Difference Equations, held May 22-29, 1994, in Estérel, Québec
Includes bibliographical references
On the numerics of integrable discretizations A brief introduction to the world of $q$ A Ramanujan-type for the Al-Salam and Ismail biorthogonal rational functions Knizhnik-Zamolodchikov equations and the algebraic Bethe Ansatz Integrable quantum mappings Local master symmetries of differential-difference equations Bäcklund transformations and hierarchies of exact solutions for the fourth Painlevé equation and their application to discrete equations On the diagonalization of difference Calogero-Sutherland systems The integrable dynamics of a discrete curve Continuous symmetries of finite-difference evolution equations and grids Basic Bessel functions and $q$-difference equations Difference equations and gauge symmetry An operator-valued Riemann-Hilbert problem associated with the XXX model Orthogonal polynomials satisfying differential equations: The role of the Darboux transformation Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations Lie symmetries and linearizations of analytic discrete dynamical systems $q$-algebra representations of the Euclidean, pseudo-Euclidean, and oscillator algebras, and their tensor products $_3F_2$(1) hypergeometric function and quadratic $R$-matrix algebra Lie point symmetries of differential difference equations The factorization method for the differential-difference relativistic Schrödinger equation and $q$-deformations Quantum deformations of $\tau $-functions, bilinear identities, and representation theory The factorization method and hierarchies of $q$-oscillator Hamiltonians Discrete-time Calogero-Moser model and lattice KP equations Bilinear structure and exact solutions of the discrete Painlevé I equation Integrable difference equations and numerical analysis algorithms An integral representation of the very-well-poised $_{8{\psi }8}$ Singular analogue of the Fourier transformation for the Askey-Wilson polynomials Singularity confinement Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials Linearisation of difference equations using factorisable Lie symmetries First integrals of the infinite Toda lattice Non semisimple quantum groups and "exponential mappings" Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials Integrable cellular automata and AKNS hierarchy On some rational Coxeter groups
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
Description based on print version record
Link Print version: Symmetries and integrability of difference equations / (DLC) 96026796 1065-8580 9780821806012
Subject Difference equations -- Congresses
Hypergeometric functions -- Congresses
Symmetry (Physics) -- Congresses
Alt Author Levi, D. (Decio)
Vinet, Luc
Winternitz, Pavel
Workshop on Symmetries and Integrability of Difference Equations (1994 : Estérel, Québec)
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