@Article{JCM-25-697, author = {Xinghua Wang and Aimin Xu}, title = {On the Divided Difference Form of Faà di Bruno's Formula II}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {6}, pages = {697--704}, abstract = {

In this paper, we consider the higher divided difference of a composite function $f(g(t))$ in which $g(t)$ is an $s$-dimensional vector. By exploiting some properties from mixed partial divided differences and multivariate Newton interpolation, we generalize the divided difference form of Faà di Bruno's formula with a scalar argument. Moreover, a generalized Faà di Bruno's formula with a vector argument is derived.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8723.html} }