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dc.contributor.author
Pacharoni, Maria Ines
dc.contributor.author
Zurrián, Ignacio Nahuel
dc.date.available
2018-09-05T20:28:41Z
dc.date.issued
2016-04
dc.identifier.citation
Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Matrix Gegenbauer Polynomials: The 2 × 2 Fundamental Cases; Springer; Constructive Approximation; 43; 2; 4-2016; 253-271
dc.identifier.issn
0176-4276
dc.identifier.uri
http://hdl.handle.net/11336/58458
dc.description.abstract
In this paper, we exhibit explicitly a sequence of (Formula presented.) matrix valued orthogonal polynomials with respect to a weight (Formula presented.) , for any pair of real numbers p and n such that (Formula presented.). The entries of these polynomiales are expressed in terms of the Gegenbauer polynomials (Formula presented.). The corresponding three-term recursion relations are also given, and we make some studies of the algebra of differential operators associated with the weight (Formula presented.).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Matrix Differential Operators
dc.subject
Matrix Orthogonal Polynomials
dc.subject
Operators Algebra
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Matrix Gegenbauer Polynomials: The 2 × 2 Fundamental Cases
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-05T16:24:42Z
dc.journal.volume
43
dc.journal.number
2
dc.journal.pagination
253-271
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Pacharoni, Maria Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.description.fil
Fil: Zurrián, Ignacio Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Constructive Approximation
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s00365-015-9301-7
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00365-015-9301-7
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1309.6902
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