Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606979 | Journal of Approximation Theory | 2015 | 20 Pages |
Abstract
Matrix-valued analogues of the little qq-Jacobi polynomials are introduced and studied. For the 2×22×2-matrix-valued little qq-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term recurrence relation and their relation to matrix-valued qq-hypergeometric series and the scalar-valued little qq-Jacobi polynomials are presented. The study is based on a matrix-valued qq-difference operator, which is a qq-analogue of Tirao’s matrix-valued hypergeometric differential operator.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Noud Aldenhoven, Erik Koelink, Ana M. de los Ríos,