A note on the multivariate symmetric Hermite Interpolant

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.

17 pages. To Appear in J.Symb.Comput