Three semi-discrete integrable systems related to orthogonal polynomials and their generalized determinant solutions

DOI10.1088/0951-7715/28/7/2279zbMath1323.37038OpenAlexW2263573019MaRDI QIDQ2944164

Yeong-Nan Yeh, Xing-Biao Hu, Jian-Qing Sun, Xiaomin Chen, Xiang-Ke Chang

Publication date: 28 August 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/7/2279

zbMATH Keywords

orthogonal polynomialsToda latticesSchur flowsemi-discrete integrable systemgeneralized determinant solutionsHankel and Toeplitz determinants

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Matrices, determinants in number theory (11C20)

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