Differentiation of multivariable composite functions and Bell polynomials

被引：28
|
作者：
Noschese, S [1 ]
Ricci, PE [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartmento Matemat Guido CASTELNUOVO, Rome, Italy
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2003年 / 5卷 / 03期
关键词：
Bell polynomials; multivariable composite functions; implicit functions; Cauchy problem for ordinary differential equations;
D O I：
10.1023/A:1023227705558
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We generalize the Bell polynomials in order to derive an operational tool for the differentiation of composite functions in several variables. In particular we show a formula that relates the Bell polynomials for multivariable composite functions to the classical ones. Some applications are suggested.
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页码：333 / 340
页数：8
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