A class of matrix-valued polynomials generalizing Jacobi Polynomials

Details A class of matrix-valued polynomials generalizing Jacobi Polynomials A class of matrix-valued polynomials generalizing Jacobi Polynomials

2008-04-23

arxiv.org/abs/0804.3739v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

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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