Please use this identifier to cite or link to this item
|title: ||Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials|
|authors: ||Branquinho, Amílcar|
Barrios Rolania, Dolores
Foulquie Moreno, Ana Pilar
|keywords: ||Orthogonal polynomials|
|issue date: ||2010|
|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.|
|publisher version/DOI: ||http://dx.doi.org/10.1016/j.jmaa.2009.07.025|
|source: ||Journal of Mathematical Analysis and Applications|
|appears in collections||CIDMA - Artigos|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.