Multidimensional Bell polynomials of higher order
type: Item
instance of: scholarly article
title: Multidimensional Bell polynomials of higher order
zbMATH Open document ID: 1113.33025
publication date: 2006-02-02T00:00:00Z
review text: The aim of the paper is to introduce a new generalization of Bell polynomials, called multidimensional Bell polynomials of higher order. Similarly to the classical Bell polynomials, which are a tool for representing the derivatives of a composite function of one variable, these new polynomials can be used for representing the derivatives of a composite function of several variables. For these polynomials the authors show that they are expressible in terms of the ordinary Bell polynomials and prove a recurrence relation.
reviewed by: Roberto Dvornicich
Mathematics Subject Classification ID: 33E30
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C50
zbMATH DE Number: 5003156
zbMATH Keywords: differentiation of composite functions
zbMATH Keywords: symmetric functions
zbMATH Keywords: Bell polynomials
author: Angela Bernardini
author: P. Natalini
author: P. E. Ricci
MaRDI profile type: Publication
full work available at URL: j.camwa.2005.05.008
OpenAlex ID: W2038288337
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DOI: 10.1016/J.CAMWA.2005.05.008
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5003156