Multivariate Bell Polynomials, Series, Chain Rules, Moments and Inversion

被引：0

作者：

Withers, Christopher S. ^{[1
]}

Nadarajah, Saralees ^{[2
]}

机构：

[1] Ind Res Ltd, Appl Math Grp, Lower Hutt, New Zealand

[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

UTILITAS MATHEMATICA | 2010年 / 83卷

关键词：

Bell polynomials; Chain rules; Inversion; Moments; Multivariate series; Series manipulation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The multivariate Bell polynomials are defined as the coefficients of a power of a multivariate series. We give recurrence relations for them for dimensions 1 to 3. We illustrate their uses in chain rules for differentiating a function of a multivariate function, relating multivariate moments and cumulants, and in multivariate iteration and inversion.

引用

页码：133 / 140

页数：8

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