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.
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页码：133 / 140
页数：8
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