Matrix-Valued Little q-Jacobi Polynomials
Classical Analysis and ODEs
2015-07-15 v2
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.
Cite
@article{arxiv.1308.2540,
title = {Matrix-Valued Little q-Jacobi Polynomials},
author = {Noud Aldenhoven and Erik Koelink and Ana M. de los Ríos},
journal= {arXiv preprint arXiv:1308.2540},
year = {2015}
}
Comments
16 pages, various corrections and minor additions, incorporating referee's comments