On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials

Barrios Rolania, Maria Dolores and Branquinho, Amilcar and Foulquié Moreno, Ana (2011). On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials. "Journal of Mathematical Analysis and Applications", v. 377 (n. 1); pp. 228-238. ISSN 0022-247X. https://doi.org/10.1016/j.jmaa.2010.10.044.

Description

Title: On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
Author/s:
  • Barrios Rolania, Maria Dolores
  • Branquinho, Amilcar
  • Foulquié Moreno, Ana
Item Type: Article
Event Title: OPSFA10 Orthogonal Polynomials, Special Functions and Applications
Event Dates: 20/07/2009-25/07/2009
Event Location: Leuven, Bélgica
Title of Book: Journal of Computational and Applied Mathematics
Título de Revista/Publicación: Journal of Mathematical Analysis and Applications
Date: May 2011
ISSN: 0022-247X
Volume: 377
Subjects:
Faculty: Facultad de Informática (UPM)
Department: Lenguajes y Sistemas Informáticos e Ingeniería del Software
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The correspondence between a high-order non-symmetric difference operator with complex coefficients and t h e evolution of an operator defined by a Lax pair is established. The solution of t h e discrete dynamical system is studied, giving explicit expressions for the resolvent function and, under some conditions, the representation of the vector of functionals, associated with the solution for our integrable systems. The method of investigation is based on t he evolutions of t he matrical moments.

More information

Item ID: 3727
DC Identifier: http://oa.upm.es/3727/
OAI Identifier: oai:oa.upm.es:3727
DOI: 10.1016/j.jmaa.2010.10.044
Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X10008814
Deposited by: Memoria Investigacion
Deposited on: 22 Jan 2015 14:25
Last Modified: 27 Apr 2016 10:57
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