Faa di Bruno's formula for chain differentials
Functional Analysis
2013-10-11 v1
Abstract
This paper determines the general formula for describing differentials of composite functions in terms of differentials of their factor functions. This generalises the formula commonly attributed to Faa di Bruno to functions in locally convex topological vector spaces. The result highlights the general structure of the higher-order chain rule in terms of partitions of the directions.
Keywords
Cite
@article{arxiv.1310.2833,
title = {Faa di Bruno's formula for chain differentials},
author = {Daniel E. Clark and Jeremie Houssineau},
journal= {arXiv preprint arXiv:1310.2833},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1202.0264