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

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

2010-12-29

arxiv.org/abs/1012.6008v1

Mathematics

Combinatorics

The procedure in MAPLE for computing the multivariate Fa\`a di Bruno's formula is given in the Appendix 1 of the paper

Scientific paper

A new algorithm for computing the multivariate Fa\`a di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa\`a 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.

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