Article ID Journal Published Year Pages File Type
4606979 Journal of Approximation Theory 2015 20 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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