SIDE III : symmetries and integrability of difference equations

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SIDE III : symmetries and integrability of difference equations / Decio Levi, Orlando Ragnisco, editors

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図書

出版情報:

Providence, RI : American Mathematical Society, c2000

形態:

xvi, 444 p. ; 26 cm

シリーズ名:

CRM proceedings & lecture notes ; v. 25 <BA20353324>

著者名:

ISBN:

9780821821282 [0821821288]

書誌ID:

BA47212629

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注記:

"The third meeting on 'Symmetries and Integrability of Difference Equations' (SIDE III) was held in Sabaudia ..., Italy, from May the 16th till May the 22nd, 1998"--P. xv
Includes bibliographical references

言語:

英語

目次情報:

On the numerics of integrable discretizations / M. J. Ablowitz ; B. M. Herbst ; C. M. Schober

A brief introduction to the world of $q$ / R. A. Askey

A Ramanujan-type for the Al-Salam and Ismail biorthogonal rational functions / N. M. Atakishiyev

Knizhnik-Zamolodchikov equations and the algebraic Bethe Ansatz / H. M. Babujian ; R. Flume

Integrable quantum mappings / H. W. Capel ; F. W. Nijhoff

Local master symmetries of differential-difference equations / I. Cherdantsev ; R. Yamilov

Backlund transformations and hierarchies of exact solutions for the fourth Painleve equation and their application to discrete equations / P. A. Clarkson ; A. P. Bassom

On the diagonalization of difference Calogero-Sutherland systems / J. F. van

Diejen The integrable dynamics of a discrete curve / A. Doliwa ; P. M. Santini

Continuous symmetries of finite-difference evolution equations and grids / V. Dorodnitsyn

Basic Bessel functions and $q$-difference equations / R. Floreanini ; L. Vinet

Difference equations and gauge symmetry / D. V. Fursaev ; V. G. Kadyshevsky

An operator-valued Riemann-Hilbert problem associated with the XXX model / H. Frahm ; A. R. Its ; V. E. Korepin

Orthogonal polynomials satisfying differential equations: The role of the Darboux transformation / F. A. Grunbaum ; L. Haine

Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations / J. P. Harnad

Lie symmetries and linearizations of analytic discrete dynamical systems / N. Joshi ; P. J. Vassiliou

$q$-algebra representations of the Euclidean, pseudo-Euclidean, and oscillator algebras, and their tensor products / E. G. Kalnins ; W. Miller

$_3F_2$(1) hypergeometric function and quadratic $R$-matrix algebra / V. B. Kuznetsov

Lie point symmetries of differential difference equations / D. Levi ; P. Winternitz

The factorization method for the differential-difference relativistic Schrodinger equation and $q$-deformations / R. M. Mir-Kasimov

Quantum deformations of $\tau$-functions, bilinear identities, and representation theory / A. D. Mironov

The factorization method and hierarchies of $q$-oscillator Hamiltonians / J. Negro

Discrete-time Calogero-Moser model and lattice KP equations / G. D. Pang

Bilinear structure and exact solutions of the discrete Painleve I equation / Y. Ohta ; K. Kajiwara ; J. Satsuma

Integrable difference equations and numerical analysis algorithms / V. Papageorgiou ; B. Grammaticos ; A. Ramani

An integral representation of the very-well-poised $_{8{\psi}8}$ / M. Rahman

Singular analogue of the Fourier transformation for the Askey-Wilson polynomials / S. K. Suslov

Singularity confinement

Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials / A. Ronveaux ; S. Belmehdi ; E. Godoy ; A. Zarzo

Linearisation of difference equations using factorisable Lie symmetries / R. Sahadevan ; G. B. Byrnes ; G. R. W. Quispel

First integrals of the infinite Toda lattice / A. B. Shabat

Non semisimple quantum groups and exponential mappings\" / E. Sorace

Discrete Schrodinger equation, Darboux transformations, and orthogonal polynomials / V. P. Spiridonov ; A. S. Zhedanov

Integrable cellular automata and AKNS hierarchy / L. A. Takhtajan

On some rational Coxeter groups / C. M. Viallet

On the numerics of integrable discretizations / M. J. Ablowitz ; B. M. Herbst ; C. M. Schober

A brief introduction to the world of $q$ / R. A. Askey

A Ramanujan-type for the Al-Salam and Ismail biorthogonal rational functions / N. M. Atakishiyev

Knizhnik-Zamolodchikov equations and the algebraic Bethe Ansatz / H. M. Babujian ; R. Flume

Integrable quantum mappings / H. W. Capel ; F. W. Nijhoff

Local master symmetries of differential-difference equations / I. Cherdantsev ; R. Yamilov

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