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arXiv · 1308.2540

Matrix-Valued Little q-Jacobi Polynomials

Noud Aldenhoven·Erik Koelink·Ana M. de los Ríos
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Abstract

Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2x2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term recurrence relation and their relation to matrix-valued q-hypergeometric series and the scalar-valued little q-Jacobi polynomials are presented. The study is based on a matrix-valued q-difference operator, which is a q-analogue of Tirao's matrix-valued hypergeometric differential operator.

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Noud Aldenhoven, Erik Koelink, Ana M. de los Ríos. 2013-08-12. Matrix-Valued Little q-Jacobi Polynomials. https://arxiv.org/abs/1308.2540

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