Artículo

Matrix Gegenbauer Polynomials: The 2 × 2 Fundamental Cases

Pacharoni, Maria InesIcon ; Zurrián, Ignacio NahuelIcon
Fecha de publicación: 04/2016
Editorial: Springer
Revista: Constructive Approximation
ISSN: 0176-4276
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.).
Palabras clave: Matrix Differential Operators , Matrix Orthogonal Polynomials , Operators Algebra
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/58458
URL: http://link.springer.com/article/10.1007/s00365-015-9301-7
DOI: http://dx.doi.org/10.1007/s00365-015-9301-7
URL: https://arxiv.org/abs/1309.6902
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel; Matrix Gegenbauer Polynomials: The 2 × 2 Fundamental Cases; Springer; Constructive Approximation; 43; 2; 4-2016; 253-271
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