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Self-dual Koornwinder-Macdonald polynomials

Jan F. van Diejen

q-algarXiv:q-alg/9507033

Abstract

We prove certain duality properties and present recurrence relations for a four-parameter family of self-dual Koornwinder-Macdonald polynomials. The recurrence relations are used to verify Macdonald's normalization conjectures for these polynomials.

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