International Mathematics Research Notices Advance Access published online on October 8, 2009
International Mathematics Research Notices, doi:10.1093/imrn/rnp156
Rodrigues Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations
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.