BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
q-alg
2008-02-03 v2 Quantum Algebra
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.
Cite
@article{arxiv.q-alg/9611011,
title = {BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials},
author = {Andrei Okounkov},
journal= {arXiv preprint arXiv:q-alg/9611011},
year = {2008}
}
Comments
28 pages, AMS TeX; replaced with revised journal version, to appear in Transf. Groups