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Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 0 | Source: arXiv Dataset IDs (Model)

A characterization of interpolation Macdonald polynomials

Authors	Andrei Okounkov
Categories	q-alg math.QA
ArXiv ID	q-alg/9712052
URL	https://arxiv.org/abs/q-alg/9712052

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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    "abstract": "In this elementary paper we prove that the extra vanishing property\ncharacterizes the BC interpolation Macdonald polynomials inside a very general\nclass of multivariate interpolation polynomials. It follows that they are the\nonly polynomials in this class that admit a tableaux sum formula or a\nq-integral representation.",
    "arxiv_id": "q-alg/9712052",
    "authors": [
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    "title": "A characterization of interpolation Macdonald polynomials",
    "url": "https://arxiv.org/abs/q-alg/9712052"
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