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Type: Journal article
Title: The multivariate Faa di Bruno formula and multivariate Taylor expansions with explicit integral remainder term
Author: Leipnik, R.
Pearce, C.
Citation: The ANZIAM Journal, 2007; 48:327-341
Publisher: Australian Mathematical Society
Issue Date: 2007
ISSN: 1446-1811
Statement of
Roy B. Leipnik and Charles E. M. Pearce
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.
Description: Copyright © Australian Mathematical Society This paper is made available with the permission of the Australian Mathematical Society Inc.
RMID: 0020071229
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Appears in Collections:Mathematical Sciences publications

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