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arXiv · q-alg/9611011

BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials

Andrei Okounkov
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Abstract

We consider 3-parametric polynomials which replace the A-series interpolation Macdonald polynomials in the BC case. For these polynomials, we prove: an integral representation, a combinatorial formula, Pieri-type rules, Cauchy identity, and we also show that they do not satisfy any rational q-difference equation. We also prove a binomial formula for the 6-parametric Koornwinder polynomials.

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Andrei Okounkov. 1997-12-17. BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. https://arxiv.org/abs/q-alg/9611011

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