Artículo
Matrix-valued little q-Jacobi polynomials
Autor/es | Aldenhoven, Noud
Koelink, Erik Martínez de los Ríos, Ana |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2015-05 |
Fecha de depósito | 2016-09-09 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | 613.001.005
P07/18 info:eu-repo/grantAgreement/MINECO/MTM2009-12740-C03-02 info:eu-repo/grantAgreement/MINECO/MTM2012-36732-C03-03 FQM-4643 |
Cita | 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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