Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43945
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Area, Iván | - |
dc.contributor.author | Branquinho, Amílcar | - |
dc.contributor.author | Foulquié Moreno, Ana | - |
dc.contributor.author | Godoy, Eduardo | - |
dc.date.accessioned | 2017-10-16T11:25:08Z | - |
dc.date.issued | 2015 | - |
dc.identifier.uri | https://hdl.handle.net/10316/43945 | - |
dc.description.abstract | In this paper a discretization of Toda equations is analyzed. The correspondence between these Δ-Toda equations for the coefficients of the Jacobi operator and its resolvent function is established. It is shown that the spectral measure of these operators evolve in t like ${(1+x)}^{1-t}\;{\rm{d}}\mu (x)$ where ${\rm{d}}\mu$ is a given positive Borel measure. The Lax pair for the Δ-Toda equations is derived and characterized in terms of linear functionals, where orthogonal polynomials which satisfy an Appell condition with respect to the forward difference operator Δ appear in a natural way. In order to illustrate the results of the paper we work out two examples of Δ-Toda equations related with Jacobi and Laguerre orthogonal polynomials. | por |
dc.language.iso | eng | por |
dc.publisher | IOP Publishing | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147205/PT | por |
dc.rights | embargoedAccess | - |
dc.title | Orthogonal polynomial interpretation of Δ-Toda equations | por |
dc.type | article | - |
degois.publication.firstPage | 405206 | por |
degois.publication.issue | 40 | por |
degois.publication.title | Journal of Physics A: Mathematical and Theoretical | por |
dc.relation.publisherversion | https://doi.org/10.1088/1751-8113/48/40/405206 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1088/1751-8113/48/40/405206 | por |
dc.identifier.doi | 10.1088/1751-8113/48/40/405206 | - |
degois.publication.volume | 48 | por |
dc.date.embargo | 2018-10-16T11:25:08Z | - |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4685-1583 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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