Matrix Gegenbauer Polynomials: The 2 × 2 Fundamental Cases

 

Autores
Pacharoni, Maria Ines; Zurrián, Ignacio Nahuel
Tipo de recurso
artículo
Estado
Versión publicada
Año de publicación
2016
País
Argentina
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio
CONICET Digital (CONICET)
Descripción
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.).
Idioma
inglés
OAI Identifier
oai:ri.conicet.gov.ar:11336/58458
Enlace del recurso
http://hdl.handle.net/11336/58458
Nivel de acceso
Acceso abierto
Materia
MATRIX DIFFERENTIAL OPERATORS
MATRIX ORTHOGONAL POLYNOMIALS
OPERATORS ALGEBRA
Matemática Pura
Matemáticas
CIENCIAS NATURALES Y EXACTAS