Some examples of orthogonal matrix polynomials satisfying odd order differential equations

Authors:
Antonio J. Durán;Manuel D. de la Iglesia
Affiliations:
Departamento de Análisis Matemático, Universidad de Sevilla, Apdo (P.O. Box) 1160, 41080 Sevilla, Spain;Departamento de Análisis Matemático, Universidad de Sevilla, Apdo (P.O. Box) 1160, 41080 Sevilla, Spain
Venue:
Journal of Approximation Theory
Year:
2008

Citing 1
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Abstract

We consider the space P"n of orthogonal polynomials of degree n on the unit disc for a general radially symmetric weight function. We show that there exists a single orthogonal polynomial whose rotations through the angles j@pn+1, j=0,1,...,n forms an ...