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International Mathematics Research Notices Advance Access published online on October 8, 2009

International Mathematics Research Notices, doi:10.1093/imrn/rnp156
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Rodrigues’ Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations

Antonio J. Durán

Departamento de Análisis Matemático. Universidad de Sevilla Apdo (P. O. BOX) 1160. 41080 Sevilla, Spain

Correspondence: Correspondence to be sent to: duran{at}us.es

We develop a method to find Rodrigues’ formulas for orthogonal matrix polynomials satisfying second-order differential equations with coefficients independent of n. Using it, we produce Rodrigues’ formulas for three illustrative examples of arbitrary size.


Communicated by Prof. Peter Forrester


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