Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/44162
Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Leipnik, R. | - |
dc.contributor.author | Pearce, C. | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2007; 48:327-341 | - |
dc.identifier.issn | 1446-1811 | - |
dc.identifier.uri | http://hdl.handle.net/2440/44162 | - |
dc.description | Copyright © Australian Mathematical Society This paper is made available with the permission of the Australian Mathematical Society Inc. | - |
dc.description.abstract | The 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.statementofresponsibility | Roy B. Leipnik and Charles E. M. Pearce | - |
dc.language.iso | en | - |
dc.publisher | Australian Mathematical Society | - |
dc.source.uri | http://www.austms.org.au/Publ/Jamsb/V48P3/2528.html | - |
dc.title | The multivariate Faa di Bruno formula and multivariate Taylor expansions with explicit integral remainder term | - |
dc.type | Journal article | - |
pubs.publication-status | Published | - |
Appears in Collections: | Aurora harvest 6 Mathematical Sciences publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_44162.pdf | 146.97 kB | Publisher's PDF | View/Open |
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