Tom H. Koornwinder
Published 2005-05-18Version 1
This paper discusses operators lowering or raising the degree but preserving the parameters of special orthogonal polynomials. Results for one-variable classical (q-)orthogonal polynomials are surveyed. For Jacobi polynomials associated with root system BC_2 a new pair of lowering and raising operators is obtained.
Comments: 12 pages; to appear in proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003)
Journal: Contemporary Math. 417, Amer. Math. Soc., 2006, pp. 227-238
Intermediate Jacobi polynomials for the root system of type BC1
Complex and rational hypergeometric functions on root systems
Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank 1
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