Lowering and raising operators for some special orthogonal polynomials
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polynomialsloweringoperatorsorthogonalraisingspecialassociatedclassical
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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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