000			03321nmm a2200229Ia 4500
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020			_a9781470439231 (online)
245		0	_aSymmetries and integrability of difference equations
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc1996.
300			_a1 online resource (xii, 388 p. : ill.)
490			_aCRM Proceedings and Lecture Notes, _vv. 9 _x2472-4890
500			_aPapers from the Workshop on Symmetries and Integrability of Difference Equations, held May 22-29, 1994, in Esterel, Quebec.
504			_aIncludes bibliographical references.
505			_tOn 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 ; Backlund transformations and hierarchies of exact solutions for the fourth Painleve 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 Schrodinger 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 Painleve 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 Schrodinger equation, Darboux transformations, and orthogonal polynomials ; Integrable cellular automata and AKNS hierarchy ; On some rational Coxeter groups
650			_aDifference equations
650			_aHypergeometric functions
650			_aSymmetry (Physics)
700			_aLevi, D.
700			_aVinet, Luc
700			_aWinternitz, Pavel
856			_uhttp://www.ams.org/crmp/009
999			_c28365 _d28365