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Matrix-valued little q-Jacobi polynomials


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Author: Aldenhoven, Noud
Koelink, Erik
Martínez de los Ríos, Ana
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2015-05
Published in: Journal of Approximation Theory, 193, 164-183.
Document type: Article
Abstract: Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2×2-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.
Cite: Aldenhoven, N., Koelink, E. y Martínez de los Ríos, A. (2015). Matrix-valued little q-Jacobi polynomials. Journal of Approximation Theory, 193, 164-183.
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DOI: 10.1016/j.jat.2014.10.007

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