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math.QA2000
Koornwinder polynomials and affine Hecke algebras
J. V. Stokman
In this paper we derive the bi-orthogonality relations, diagonal term evaluations and evaluation formulas for the non-symmetric Koornwinder polynomials. For the derivation we use c…
math.QA2000
Askey-Wilson polynomials: an affine Hecke algebraic approach
Masatoshi Noumi, Jasper V. Stokman
We study Askey-Wilson type polynomials using representation theory of the double affine Hecke algebra. In particular, we prove bi-orthogonality relations for non-symmetric and anti…