A note on the multivariate symmetric Hermite Interpolant

Published 30 Jan 2025 in math.CA and math.AC | (2501.18507v1)

Abstract: In this note we explicit the notion of Hermite interpolant of a multivariate symmetric polynomial, generalizing the notion of Lagrange interpolant to the case when there are roots coalescence, an extension of the results on the symmetric Hermite interpolation basis by M.-F. Roy and A. Szpirglas.

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