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Title: On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
Authors: Barros Rolanía, D. 
Branquinho, A. 
Foulquié Moreno, A. 
Keywords: Operator theory; Orthogonal polynomials; Differential equations; Recurrence relations
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-43 (2009)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 09-43
Place of publication or event: Coimbra
Abstract: The correspondence between a high-order non symmetric difference operator with complex coefficients and the evolution of an operator defined by a Lax pair is established. The solution of the 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 the evolutions of the matrical moments.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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