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A characterization of interpolation Macdonald polynomials
classification
q-alg
math.QA
keywords
polynomialsinterpolationclassmacdonaldadmitcharacterizationcharacterizeselementary
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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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