Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8723
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 697–704
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Bell polynomial Faà di Bruno's formula Mixed partial divided difference Multivariate Newton interpolation.