Multiple little q-Jacobi polynomials
Classical Analysis and ODEs
2013-10-04 v1
Abstract
We introduce two kinds of multiple little q-Jacobi polynomials by imposing orthogonality conditions with respect to r discrete little q-Jacobi measures on the exponential lattice q^k (k=0,1,2,3,...), where 0 < q < 1. We show that these multiple little q-Jacobi polynomials have useful q-difference properties, such as a Rodrigues formula (consisting of a product of r difference operators). Some properties of the zeros of these polynomials and some asymptotic properties will be given as well.
Cite
@article{arxiv.math/0403532,
title = {Multiple little q-Jacobi polynomials},
author = {Kelly Postelmans and Walter Van Assche},
journal= {arXiv preprint arXiv:math/0403532},
year = {2013}
}
Comments
15 pages