The Exceptional (X-l) (q)-Racah Polynomials

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  • The Exceptional (X ) (q)-Racah Polynomials
  • Exceptional (Xℓ) (q)-Racah polynomials

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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.

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PROGRESS OF THEORETICAL PHYSICS. 125(5):851-870 (2011)

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