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Lowering and raising operators for some special orthogonal polynomials

Tom H. Koornwinder
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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.

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Tom H. Koornwinder. 2005-05-18. Lowering and raising operators for some special orthogonal polynomials. https://arxiv.org/abs/math/0505378

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