English

A note on the multivariate symmetric Hermite Interpolant

Classical Analysis and ODEs 2025-08-28 v2 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.2501.18507,
  title  = {A note on the multivariate symmetric Hermite Interpolant},
  author = {Teresa Krick and Agnes Szanto},
  journal= {arXiv preprint arXiv:2501.18507},
  year   = {2025}
}

Comments

17 pages. To Appear in J.Symb.Comput

R2 v1 2026-06-28T21:26:00.054Z