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http://hdl.handle.net/10773/8427
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 |
URI: | http://hdl.handle.net/10773/8427 |
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 |
Files in This Item:
File | Description | Size | Format | |
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BBFDynamics.pdf | 191.58 kB | Adobe PDF | View/Open |
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