Raising and Lowering Operators for Askey-Wilson Polynomials

oleh: Siddhartha Sahi

Format: Article
Diterbitkan: National Academy of Science of Ukraine 2007-01-01

Deskripsi

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.