Lowering and raising operators for some special orthogonal polynomials
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2005
- DOI:
- arXiv:
- arXiv:math/0505378
- Bibcode:
- 2005math......5378K
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 33C45;
- 33D45;
- 33C52
- E-Print:
- 12 pages