Differential coefficients of orthogonal matrix polynomials

Authors:
Antonio J. Duran;Mourad E. H. Ismail
Affiliations:
Departamento de Análisis Matemático, Universidad de Sevilla, Sevilla, Spain;Department of Mathematics, University of Central Florida, Orlando, FL
Venue:
Journal of Computational and Applied Mathematics - Special issue: International conference on mathematics and its application
Year:
2006

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Abstract

We find explicit formulas for raising and lowering first order differential operators for orthogonal matrix polynomials. We derive recurrence relations for the coefficients in the raising and lowering operators. Some examples are given.