On the divided difference form of FaA di Bruno's formula II

被引：0
|
作者：
Wang, Xinghua [1 ]
Xu, Aimin [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2007年 / 25卷 / 06期
关键词：
bell polynomial; Faa di Bruno's formula; mixed partial divided difference; multivariate Newton interpolation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Faa di Bruno's formula with a scalar argument. Moreover, a generalized Faa di Bruno's formula with a vector argument is derived.
引用
收藏
页码：697 / 704
页数：8
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