Application of Faa di Bruno's formula in characterization of inverse relations

被引：14

作者：

Chou, WS ^{[1
]}

Hsu, LC

Shiue, PJS

机构：

[1] Acad Sinica, Inst Math, Taipei 11529, Taiwan

[2] Dalian Univ Technol, Inst Math Sci, Dalian, Peoples R China

[3] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 190卷 / 1-2期

关键词：

Faa di Bruno's formula; formal power series; inverse relations; pair of inverse identities;

D O I：

10.1016/j.cam.2004.12.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that a pair of inverse relations can be constructed by the suitable application of Faa di Bruno's formula for finding higher order derivatives of composite functions. Various examples illustrating the applications of inverse relations are presented. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：151 / 169

页数：19

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