ON MATRIX AND DETERMINANT IDENTITIES FOR COMPOSITE FUNCTIONS

被引：5
|
作者：
Wang, Xinghua [1 ]
Xu, Aimin [2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2011年 / 29卷 / 01期
基金：
美国国家科学基金会;
关键词：
Bell polynomial; Composite function; Determinant identity; Divided difference; Matrix identity; DI-BRUNO FORMULA; STIRLING MATRIX; POLYNOMIALS; SEQUENCES;
D O I：
10.4208/jcm.1007-m3067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some matrix and determinant identities for the divided differences of the composite functions, which generalize the divided difference form of Faa di Bruno's formula. Some recent published identities can be regarded as special cases of our results.
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页码：16 / 25
页数：10
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