@Article{JCM-24-4,
author = {},
title = {On the Divided Difference Form of Faà di Bruno's Formula},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {4},
pages = {553--560},
abstract = {<p style="text-align: justify;">The $n$-divided difference of the composite function $h:=f\circ g$ of functions $f$, $g$ at a group of nodes $t_0, t_1, \cdots, t_n$ is shown by the combinations of divided differences of $f$ at the group of nodes $g(t_0), g(t_1), \cdots, g(t_m)$ and divided differences of $g$ at several partial group of nodes $t_0, t_1,\cdots, t_n$, where $m=1, 2,\cdots, n$. Especially, when the given group of nodes are equal to each other completely, it will lead to Faà di Bruno&#39;s formula of higher derivatives of function $h$.</p>},
issn = {1991-7139},
doi = {https://doi.org/2006-JCM-8774},
url = {https://global-sci.com/article/85100/on-the-divided-difference-form-of-faa-di-brunos-formula}
}