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Title: Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
Author: Branquinho, Amílcar
Barrios Rolania, Dolores
Foulquie Moreno, Ana Pilar
Keywords: Orthogonal polynomials
Differential equations
Recurrence relations
Issue Date: 2010
Publisher: Elsevier
Abstract: High-order non-symmetric difference operators with complex coefficients are considered. The correspondence between dynamics of the coefficients of the operator defined by a Lax pair and its resolvent function is established. The method of investigation is based on the analysis of the moments for the operator. The solution of a discrete dynamical system is studied. We give explicit expressions for the resolvent function and, under some conditions, the representation of the vector of functionals, associated with the solution for the integrable systems.
Peer review: yes
DOI: 10.1016/j.jmaa.2009.07.025
ISSN: 0022-247X
Publisher Version: doi:10.1016/j.jmaa.2009.07.025
Appears in Collections:CIDMA - Artigos

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