Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/44162
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dc.contributor.authorLeipnik, R.-
dc.contributor.authorPearce, C.-
dc.date.issued2007-
dc.identifier.citationAustralia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2007; 48:327-341-
dc.identifier.issn1446-1811-
dc.identifier.urihttp://hdl.handle.net/2440/44162-
dc.descriptionCopyright © Australian Mathematical Society This paper is made available with the permission of the Australian Mathematical Society Inc.-
dc.description.abstractThe Faà di Bruno formulae for higher-order derivatives of a composite function are important in analysis for a variety of applications. There is a substantial literature on the univariate case, but despite significant applications the multivariate case has until recently received limited study. We present a succinct result which is a natural generalization of the univariate version. The derivation makes use of an explicit integral form of the remainder term for multivariate Taylor expansions.-
dc.description.statementofresponsibilityRoy B. Leipnik and Charles E. M. Pearce-
dc.language.isoen-
dc.publisherAustralian Mathematical Society-
dc.source.urihttp://www.austms.org.au/Publ/Jamsb/V48P3/2528.html-
dc.titleThe multivariate Faa di Bruno formula and multivariate Taylor expansions with explicit integral remainder term-
dc.typeJournal article-
pubs.publication-statusPublished-
Appears in Collections:Aurora harvest 6
Mathematical Sciences publications

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