Raising and Lowering Operators for Askey-Wilson Polynomials
量子代数
2008-04-24 v1 数学物理
math.MP
摘要
In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the ''classical'' properties of these polynomials, viz. the q-difference equation and the three term recurrence. The second technique is less elementary, and involves the one-variable version of the double affine Hecke algebra.
引用
@article{arxiv.math/0701134,
title = {Raising and Lowering Operators for Askey-Wilson Polynomials},
author = {Siddhartha Sahi},
journal= {arXiv preprint arXiv:math/0701134},
year = {2008}
}
备注
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/