A characterization of interpolation Macdonald polynomials

Details A characterization of interpolation Macdonald polynomials A characterization of interpolation Macdonald polynomials

1997-12-23

arxiv.org/abs/q-alg/9712052v1

Mathematics

Quantum Algebra

AMS TeX, 28 pages

Scientific paper

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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