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A characterization of interpolation Macdonald polynomials

Andrei Okounkov
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Abstract

In this elementary paper we prove that the extra vanishing property characterizes the BC interpolation Macdonald polynomials inside a very general class of multivariate interpolation polynomials. It follows that they are the only polynomials in this class that admit a tableaux sum formula or a q-integral representation.

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BibTeXRIS

Andrei Okounkov. 1997-12-23. A characterization of interpolation Macdonald polynomials. https://arxiv.org/abs/q-alg/9712052

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