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arXiv · 0804.3739

A class of matrix-valued polynomials generalizing Jacobi Polynomials

Rodica D. Costin
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Abstract

A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a two-step recurrence relation, integral inter-relations, and quasi-orthogonality relations.

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Rodica D. Costin. 2008-04-23. A class of matrix-valued polynomials generalizing Jacobi Polynomials. https://arxiv.org/abs/0804.3739

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