Characterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretation
DOI10.1016/j.jmaa.2015.07.051zbMath1356.37075OpenAlexW1460231304MaRDI QIDQ497745
Ana Foulquié Moreno, IvÁn Area, Eduardo Paciência Godoy, Amílcar Branquinho
Publication date: 25 September 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.051
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Difference operators (39A70)
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Cites Work
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- Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
- A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
- Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
- Theory of nonlinear lattices.
- Three integrable Hamiltonian systems connected with isospectral deformations
- On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
- From the Toda lattice to the Volterra lattice and back
- Padé approximants and complex high order Toda lattices
- Toda chain, Stieltjes function, and orthogonal polynomials
- On the Toda and KAC-VAN Moerbeke Systems
- Method for Solving the Korteweg-deVries Equation
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Complex high order Toda and Volterra lattices1
- Nonlinear differential difference equations as Backlund transformations
- Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
- Integrals of the Toda lattice
- The Toda lattice. II. Existence of integrals
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators
- On Toda lattices and orthogonal polynomials
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