Elliptic solutions of the restricted Toda chain, Lamé polynomials and generalization of the elliptic Stieltjes polynomials

DOI10.1088/1751-8113/42/45/454024zbMath1179.33035OpenAlexW2028944307MaRDI QIDQ3648266

Luc Vinet, Alexei Zhedanov

Publication date: 24 November 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/42/45/454024

zbMATH Keywords

Lamé polynomialHankel determinantToda chainWeierstrass elliptic function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Elliptic functions and integrals (33E05) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (2)

Elliptic solutions of the Toda chain and a generalization of the Stieltjes-Carlitz polynomials ⋮ Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis

This page was built for publication: Elliptic solutions of the restricted Toda chain, Lamé polynomials and generalization of the elliptic Stieltjes polynomials