A new algorithm for computing the multivariate Faà di Bruno’s formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Faà di Bruno’s formula into a suitable multinomial expansion. We propose a MAPLE procedure whose computational times are faster compared with the ones existing in the literature. Some illustrative applications are also provided.

A new algorithm for computing the multivariate Faa'  di Bruno's formula

DI NARDO, Elvira;SENATO PULLANO, Domenico
2011-01-01

Abstract

A new algorithm for computing the multivariate Faà di Bruno’s formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Faà di Bruno’s formula into a suitable multinomial expansion. We propose a MAPLE procedure whose computational times are faster compared with the ones existing in the literature. Some illustrative applications are also provided.
2011
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/18654
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