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The Exceptional (X_{\ell}) (q)-Racah Polynomials

arXiv:1102.0812 · doi:10.1143/PTP.125.851

Abstract

The exceptional Racah and q-Racah polynomials are constructed. Together with the exceptional Laguerre, Jacobi, Wilson and Askey-Wilson polynomials discovered by the present authors in 2009, they exhaust the generic exceptional orthogonal polynomials of a single variable.

25 pages