A divided difference identity for a class of multiple integrals
Numerical Analysis
2026-03-20 v1 Numerical Analysis
Abstract
We derive an identity that relates a class of multiple integrals involving Vandermonde polynomials to divided differences. Alternatively the identity can be viewed as an integral formula for divided differences. As part of the derivation we show that both sums of pure partial derivatives and mixed partial derivatives of Vandermonde polynomials are zero, which might be of independent interest.
Cite
@article{arxiv.2603.18867,
title = {A divided difference identity for a class of multiple integrals},
author = {Michael S. Floater},
journal= {arXiv preprint arXiv:2603.18867},
year = {2026}
}