Discrete integrable systems generated by Hermite-Padé approximants

DOI10.1088/0951-7715/29/5/1487zbMath1341.42043arXiv1409.4053OpenAlexW3104655601MaRDI QIDQ2811972

Maxim Derevyagin, Alexander I. Aptekarev, Walter Van Assche

Publication date: 9 June 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4053

zbMATH Keywords

recurrence relationsmultiple orthogonal polynomialspartial difference equationsdiscrete integrable systemsdiscrete zero curvature condition

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60) Numerical methods for difference equations (65Q10)

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