Lowering and raising operators for some special orthogonal polynomials

Details Lowering and raising operators for some special orthogonal polynomials Lowering and raising operators for some special orthogonal polynomials

2005-05-18

arxiv.org/abs/math/0505378v1

Contemporary Math. 417, Amer. Math. Soc., 2006, pp. 227-238

Mathematics

Classical Analysis and ODEs

12 pages; to appear in proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, September 20

Scientific paper

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.

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