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Lowering and raising operators for some special orthogonal polynomials

Research paper by Tom H. Koornwinder

Indexed on: 18 May '05Published on: 18 May '05Published in: Mathematics - Classical Analysis and ODEs



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.