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Experimental Mathematics Volume 16, 2007 - Issue 2
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Original Article

Matrix-Valued Orthogonal Polynomials Related to SU(N+ 1), Their Algebras of Differential Operators, and the Corresponding Curves

F. Alberto Grünbaum Department of Mathematics, University of California, Berkeley, CA 94720
&
Manuel D. de la Iglesia Departamento de Análisis Matemático, Universidad de Sevilla, Apdo (P.O. Box) 1160, 41080 Sevilla, Spain
Pages 189-207 | Published online: 30 Jan 2011

Citations (8)

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Read on this site (1)

Antonio J. Durán & Vanesa Sánchez-Canales. (2014) Rodrigues’ formulas for orthogonal matrix polynomials satisfying second-order difference equations. Integral Transforms and Special Functions 25:11, pages 849-863.
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Articles from other publishers (7)

M Bertola. (2023) Abelianization of Matrix Orthogonal Polynomials. International Mathematics Research Notices 2023:10, pages 8544-8595.
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Antonio J. Durán. (2012) The algebra of difference operators associated to a family of orthogonal polynomials. Journal of Approximation Theory 164:5, pages 586-610.
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Antonio J. Durán. (2010) Rodrigues’ Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations. International Mathematics Research Notices 2010:5, pages 824-855.
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P. Román & S. Simondi. (2010) Solutions at infinity of the generalized matrix-valued hypergeometric equation. Applied Mathematics Letters 23:1, pages 39-43.
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Antonio J. Durán. (2008) A Method to Find Weight Matrices Having Symmetric Second-Order Differential Operators with Matrix Leading Coefficient. Constructive Approximation 29:2, pages 181-205.
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Antonio J. Durán & Manuel D. de la Iglesia. (2008) Some examples of orthogonal matrix polynomials satisfying odd order differential equations. Journal of Approximation Theory 150:2, pages 153-174.
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F. Alberto Grünbaum & Manuel D. de la Iglesia. (2008) Matrix Valued Orthogonal Polynomials Arising from Group Representation Theory and a Family of Quasi-Birth-and-Death Processes. SIAM Journal on Matrix Analysis and Applications 30:2, pages 741-761.
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