On applications of Faà-di-Bruno formula
نویسندگان
چکیده
منابع مشابه
A Multivariate Faa Di Bruno Formula with Applications
A multivariate Faa di Bruno formula for computing arbitrary partial derivatives of a function composition is presented. It is shown, by way of a general identity, how such derivatives can also be expressed in the form of an infinite series. Applications to stochastic processes and multivariate cumulants are then delineated.
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A Faà di Bruno type Hopf algebra is developed for a group of integral operators known as Fliess operators, where operator composition is the group product. The result is applied to analytic nonlinear feedback systems to produce an explicit formula for the feedback product, that is, the generating series for the Fliess operator representation of the closed-loop system written in terms of the gen...
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ژورنال
عنوان ژورنال: Ufa Mathematical Journal
سال: 2017
ISSN: 2074-1863,2074-1871
DOI: 10.13108/2017-9-3-131