dorsal/arxiv
View SchemaBC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
| Authors | Andrei Okounkov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9611011 |
| URL | https://arxiv.org/abs/q-alg/9611011 |
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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"abstract": "We consider 3-parametric polynomials which replace the A-series interpolation\nMacdonald polynomials in the BC case. For these polynomials, we prove: an\nintegral representation, a combinatorial formula, Pieri-type rules, Cauchy\nidentity, and we also show that they do not satisfy any rational q-difference\nequation. We also prove a binomial formula for the 6-parametric Koornwinder\npolynomials.",
"arxiv_id": "q-alg/9611011",
"authors": [
"Andrei Okounkov"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials",
"url": "https://arxiv.org/abs/q-alg/9611011"
},
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